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Finding the Fourth Proportional to 429,102.12, 592,167.42 and 238,127.88

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Solution

The fourth proportional to 429,102.12, 592,167.42 and 238,127.88 is: 328,620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,102.12 : 592,167.42 = 238,127.88 : x
  2. Step 2: Convert to fraction form
    429,102.12/592,167.42 = 238,127.88/x
  3. Step 3: Cross multiply
    429,102.12x = 592,167.42 × 238,127.88
  4. Step 4: Simplify right side
    429,102.12x = 141,011,572,329.67
  5. Step 5: Solve for x
    x = 141,011,572,329.67/429,102.12
  6. Step 6: Final answer
    x = 328,620.08

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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.