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Finding the Fourth Proportional to 493,584, 740,376.10 and 178,040.88

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Solution

The fourth proportional to 493,584, 740,376.10 and 178,040.88 is: 267,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,584 : 740,376.10 = 178,040.88 : x
  2. Step 2: Convert to fraction form
    493,584/740,376.10 = 178,040.88/x
  3. Step 3: Cross multiply
    493,584x = 740,376.10 × 178,040.88
  4. Step 4: Simplify right side
    493,584x = 131,817,212,374.97
  5. Step 5: Solve for x
    x = 131,817,212,374.97/493,584
  6. Step 6: Final answer
    x = 267,061.36

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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.