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Finding the Fourth Proportional to 484,438.62, 726,413.72 and 147,414.63

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Solution

The fourth proportional to 484,438.62, 726,413.72 and 147,414.63 is: 221,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,438.62 : 726,413.72 = 147,414.63 : x
  2. Step 2: Convert to fraction form
    484,438.62/726,413.72 = 147,414.63/x
  3. Step 3: Cross multiply
    484,438.62x = 726,413.72 × 147,414.63
  4. Step 4: Simplify right side
    484,438.62x = 107,084,009,023.65
  5. Step 5: Solve for x
    x = 107,084,009,023.65/484,438.62
  6. Step 6: Final answer
    x = 221,047.63

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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.