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Finding the Fourth Proportional to 415,023.06, 572,565.52 and 253,597.86

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Solution

The fourth proportional to 415,023.06, 572,565.52 and 253,597.86 is: 349,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,023.06 : 572,565.52 = 253,597.86 : x
  2. Step 2: Convert to fraction form
    415,023.06/572,565.52 = 253,597.86/x
  3. Step 3: Cross multiply
    415,023.06x = 572,565.52 × 253,597.86
  4. Step 4: Simplify right side
    415,023.06x = 145,201,390,581.79
  5. Step 5: Solve for x
    x = 145,201,390,581.79/415,023.06
  6. Step 6: Final answer
    x = 349,863.43

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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.