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Finding the Fourth Proportional to 429,102.88, 592,133.52 and 238,104.16

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Solution

The fourth proportional to 429,102.88, 592,133.52 and 238,104.16 is: 328,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,102.88 : 592,133.52 = 238,104.16 : x
  2. Step 2: Convert to fraction form
    429,102.88/592,133.52 = 238,104.16/x
  3. Step 3: Cross multiply
    429,102.88x = 592,133.52 × 238,104.16
  4. Step 4: Simplify right side
    429,102.88x = 140,989,454,387.44
  5. Step 5: Solve for x
    x = 140,989,454,387.44/429,102.88
  6. Step 6: Final answer
    x = 328,567.95

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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.