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Finding the Fourth Proportional to 408,877.02, 613,413.90 and 172,287.36

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Solution

The fourth proportional to 408,877.02, 613,413.90 and 172,287.36 is: 258,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,877.02 : 613,413.90 = 172,287.36 : x
  2. Step 2: Convert to fraction form
    408,877.02/613,413.90 = 172,287.36/x
  3. Step 3: Cross multiply
    408,877.02x = 613,413.90 × 172,287.36
  4. Step 4: Simplify right side
    408,877.02x = 105,683,461,418.30
  5. Step 5: Solve for x
    x = 105,683,461,418.30/408,877.02
  6. Step 6: Final answer
    x = 258,472.49

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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.