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Finding the Fourth Proportional to 360,394.79, 497,355.19 and 199,260.24

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Solution

The fourth proportional to 360,394.79, 497,355.19 and 199,260.24 is: 274,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,394.79 : 497,355.19 = 199,260.24 : x
  2. Step 2: Convert to fraction form
    360,394.79/497,355.19 = 199,260.24/x
  3. Step 3: Cross multiply
    360,394.79x = 497,355.19 × 199,260.24
  4. Step 4: Simplify right side
    360,394.79x = 99,103,114,524.65
  5. Step 5: Solve for x
    x = 99,103,114,524.65/360,394.79
  6. Step 6: Final answer
    x = 274,984.87

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.