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Finding the Fourth Proportional to 360,309.53, 497,205.54 and 199,154.97

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Solution

The fourth proportional to 360,309.53, 497,205.54 and 199,154.97 is: 274,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,309.53 : 497,205.54 = 199,154.97 : x
  2. Step 2: Convert to fraction form
    360,309.53/497,205.54 = 199,154.97/x
  3. Step 3: Cross multiply
    360,309.53x = 497,205.54 × 199,154.97
  4. Step 4: Simplify right side
    360,309.53x = 99,020,954,402.53
  5. Step 5: Solve for x
    x = 99,020,954,402.53/360,309.53
  6. Step 6: Final answer
    x = 274,821.91

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Half scale
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Double scale
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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.