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Finding the Fourth Proportional to 564,925.52, 847,413.90 and 160,146.69

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Solution

The fourth proportional to 564,925.52, 847,413.90 and 160,146.69 is: 240,227.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,925.52 : 847,413.90 = 160,146.69 : x
  2. Step 2: Convert to fraction form
    564,925.52/847,413.90 = 160,146.69/x
  3. Step 3: Cross multiply
    564,925.52x = 847,413.90 × 160,146.69
  4. Step 4: Simplify right side
    564,925.52x = 135,710,527,967.19
  5. Step 5: Solve for x
    x = 135,710,527,967.19/564,925.52
  6. Step 6: Final answer
    x = 240,227.29

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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.