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Finding the Fourth Proportional to 429,402.54, 592,564.23 and 238,411.02

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Solution

The fourth proportional to 429,402.54, 592,564.23 and 238,411.02 is: 329,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,402.54 : 592,564.23 = 238,411.02 : x
  2. Step 2: Convert to fraction form
    429,402.54/592,564.23 = 238,411.02/x
  3. Step 3: Cross multiply
    429,402.54x = 592,564.23 × 238,411.02
  4. Step 4: Simplify right side
    429,402.54x = 141,273,842,489.82
  5. Step 5: Solve for x
    x = 141,273,842,489.82/429,402.54
  6. Step 6: Final answer
    x = 329,000.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.