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Finding the Fourth Proportional to 415,251.72, 573,047.16 and 224,265.12

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Solution

The fourth proportional to 415,251.72, 573,047.16 and 224,265.12 is: 309,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,251.72 : 573,047.16 = 224,265.12 : x
  2. Step 2: Convert to fraction form
    415,251.72/573,047.16 = 224,265.12/x
  3. Step 3: Cross multiply
    415,251.72x = 573,047.16 × 224,265.12
  4. Step 4: Simplify right side
    415,251.72x = 128,514,490,103.06
  5. Step 5: Solve for x
    x = 128,514,490,103.06/415,251.72
  6. Step 6: Final answer
    x = 309,485.75

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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.