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Finding the Fourth Proportional to 415,438.81, 573,305.85 and 224,452.15

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Solution

The fourth proportional to 415,438.81, 573,305.85 and 224,452.15 is: 309,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,438.81 : 573,305.85 = 224,452.15 : x
  2. Step 2: Convert to fraction form
    415,438.81/573,305.85 = 224,452.15/x
  3. Step 3: Cross multiply
    415,438.81x = 573,305.85 × 224,452.15
  4. Step 4: Simplify right side
    415,438.81x = 128,679,730,640.08
  5. Step 5: Solve for x
    x = 128,679,730,640.08/415,438.81
  6. Step 6: Final answer
    x = 309,744.12

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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.