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Finding the Fourth Proportional to 402,342, 602,594.19 and 192,127.56

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Solution

The fourth proportional to 402,342, 602,594.19 and 192,127.56 is: 287,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,342 : 602,594.19 = 192,127.56 : x
  2. Step 2: Convert to fraction form
    402,342/602,594.19 = 192,127.56/x
  3. Step 3: Cross multiply
    402,342x = 602,594.19 × 192,127.56
  4. Step 4: Simplify right side
    402,342x = 115,774,951,394.88
  5. Step 5: Solve for x
    x = 115,774,951,394.88/402,342
  6. Step 6: Final answer
    x = 287,752.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.