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Finding the Fourth Proportional to 498,413.67, 747,631.13 and 178,586.43

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Solution

The fourth proportional to 498,413.67, 747,631.13 and 178,586.43 is: 267,883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,413.67 : 747,631.13 = 178,586.43 : x
  2. Step 2: Convert to fraction form
    498,413.67/747,631.13 = 178,586.43/x
  3. Step 3: Cross multiply
    498,413.67x = 747,631.13 × 178,586.43
  4. Step 4: Simplify right side
    498,413.67x = 133,516,773,570.63
  5. Step 5: Solve for x
    x = 133,516,773,570.63/498,413.67
  6. Step 6: Final answer
    x = 267,883.45

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Why These Related Problems?

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