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Finding the Fourth Proportional to 415,527.52, 573,428.16 and 224,540.92

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Solution

The fourth proportional to 415,527.52, 573,428.16 and 224,540.92 is: 309,866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,527.52 : 573,428.16 = 224,540.92 : x
  2. Step 2: Convert to fraction form
    415,527.52/573,428.16 = 224,540.92/x
  3. Step 3: Cross multiply
    415,527.52x = 573,428.16 × 224,540.92
  4. Step 4: Simplify right side
    415,527.52x = 128,758,086,600.31
  5. Step 5: Solve for x
    x = 128,758,086,600.31/415,527.52
  6. Step 6: Final answer
    x = 309,866.57

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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.