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Finding the Fourth Proportional to 869,413.20, 1,304,767.80 and 448,472.40

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Solution

The fourth proportional to 869,413.20, 1,304,767.80 and 448,472.40 is: 673,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,413.20 : 1,304,767.80 = 448,472.40 : x
  2. Step 2: Convert to fraction form
    869,413.20/1,304,767.80 = 448,472.40/x
  3. Step 3: Cross multiply
    869,413.20x = 1,304,767.80 × 448,472.40
  4. Step 4: Simplify right side
    869,413.20x = 585,152,346,708.72
  5. Step 5: Solve for x
    x = 585,152,346,708.72/869,413.20
  6. Step 6: Final answer
    x = 673,042.86

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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.