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Finding the Fourth Proportional to 429,390.88, 592,577.91 and 238,404.25

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Solution

The fourth proportional to 429,390.88, 592,577.91 and 238,404.25 is: 329,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,390.88 : 592,577.91 = 238,404.25 : x
  2. Step 2: Convert to fraction form
    429,390.88/592,577.91 = 238,404.25/x
  3. Step 3: Cross multiply
    429,390.88x = 592,577.91 × 238,404.25
  4. Step 4: Simplify right side
    429,390.88x = 141,273,092,200.12
  5. Step 5: Solve for x
    x = 141,273,092,200.12/429,390.88
  6. Step 6: Final answer
    x = 329,008.13

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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.