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Finding the Fourth Proportional to 416,425.50, 624,887.03 and 382,545.83

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Solution

The fourth proportional to 416,425.50, 624,887.03 and 382,545.83 is: 574,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,425.50 : 624,887.03 = 382,545.83 : x
  2. Step 2: Convert to fraction form
    416,425.50/624,887.03 = 382,545.83/x
  3. Step 3: Cross multiply
    416,425.50x = 624,887.03 × 382,545.83
  4. Step 4: Simplify right side
    416,425.50x = 239,047,925,634.86
  5. Step 5: Solve for x
    x = 239,047,925,634.86/416,425.50
  6. Step 6: Final answer
    x = 574,047.28

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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.