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Finding the Fourth Proportional to 360,409.48, 497,356.32 and 199,260.38

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Solution

The fourth proportional to 360,409.48, 497,356.32 and 199,260.38 is: 274,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,409.48 : 497,356.32 = 199,260.38 : x
  2. Step 2: Convert to fraction form
    360,409.48/497,356.32 = 199,260.38/x
  3. Step 3: Cross multiply
    360,409.48x = 497,356.32 × 199,260.38
  4. Step 4: Simplify right side
    360,409.48x = 99,103,409,318.60
  5. Step 5: Solve for x
    x = 99,103,409,318.60/360,409.48
  6. Step 6: Final answer
    x = 274,974.48

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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.