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Finding the Fourth Proportional to 429,507.52, 592,746.96 and 238,522.24

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Solution

The fourth proportional to 429,507.52, 592,746.96 and 238,522.24 is: 329,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,507.52 : 592,746.96 = 238,522.24 : x
  2. Step 2: Convert to fraction form
    429,507.52/592,746.96 = 238,522.24/x
  3. Step 3: Cross multiply
    429,507.52x = 592,746.96 × 238,522.24
  4. Step 4: Simplify right side
    429,507.52x = 141,383,332,652.39
  5. Step 5: Solve for x
    x = 141,383,332,652.39/429,507.52
  6. Step 6: Final answer
    x = 329,175.45

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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.