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Finding the Fourth Proportional to 429,414.90, 602,010.30 and 429,414.90

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Solution

The fourth proportional to 429,414.90, 602,010.30 and 429,414.90 is: 602,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,414.90 : 602,010.30 = 429,414.90 : x
  2. Step 2: Convert to fraction form
    429,414.90/602,010.30 = 429,414.90/x
  3. Step 3: Cross multiply
    429,414.90x = 602,010.30 × 429,414.90
  4. Step 4: Simplify right side
    429,414.90x = 258,512,192,773.47
  5. Step 5: Solve for x
    x = 258,512,192,773.47/429,414.90
  6. Step 6: Final answer
    x = 602,010.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.