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Finding the Fourth Proportional to 416,545.50, 624,397.48 and 164,003.20

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Solution

The fourth proportional to 416,545.50, 624,397.48 and 164,003.20 is: 245,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,545.50 : 624,397.48 = 164,003.20 : x
  2. Step 2: Convert to fraction form
    416,545.50/624,397.48 = 164,003.20/x
  3. Step 3: Cross multiply
    416,545.50x = 624,397.48 × 164,003.20
  4. Step 4: Simplify right side
    416,545.50x = 102,403,181,669.95
  5. Step 5: Solve for x
    x = 102,403,181,669.95/416,545.50
  6. Step 6: Final answer
    x = 245,839.13

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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.