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Finding the Fourth Proportional to 578,413.80, 869,694.30 and 487,175.40

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Solution

The fourth proportional to 578,413.80, 869,694.30 and 487,175.40 is: 732,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,413.80 : 869,694.30 = 487,175.40 : x
  2. Step 2: Convert to fraction form
    578,413.80/869,694.30 = 487,175.40/x
  3. Step 3: Cross multiply
    578,413.80x = 869,694.30 × 487,175.40
  4. Step 4: Simplify right side
    578,413.80x = 423,693,668,480.22
  5. Step 5: Solve for x
    x = 423,693,668,480.22/578,413.80
  6. Step 6: Final answer
    x = 732,509.61

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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.