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Finding the Fourth Proportional to 462,086.87, 637,413.71 and 278,197.43

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Solution

The fourth proportional to 462,086.87, 637,413.71 and 278,197.43 is: 383,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,086.87 : 637,413.71 = 278,197.43 : x
  2. Step 2: Convert to fraction form
    462,086.87/637,413.71 = 278,197.43/x
  3. Step 3: Cross multiply
    462,086.87x = 637,413.71 × 278,197.43
  4. Step 4: Simplify right side
    462,086.87x = 177,326,851,390.71
  5. Step 5: Solve for x
    x = 177,326,851,390.71/462,086.87
  6. Step 6: Final answer
    x = 383,752.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.