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Finding the Fourth Proportional to 416,354.50, 624,549.03 and 120,866.50

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Solution

The fourth proportional to 416,354.50, 624,549.03 and 120,866.50 is: 181,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,354.50 : 624,549.03 = 120,866.50 : x
  2. Step 2: Convert to fraction form
    416,354.50/624,549.03 = 120,866.50/x
  3. Step 3: Cross multiply
    416,354.50x = 624,549.03 × 120,866.50
  4. Step 4: Simplify right side
    416,354.50x = 75,487,055,334.50
  5. Step 5: Solve for x
    x = 75,487,055,334.50/416,354.50
  6. Step 6: Final answer
    x = 181,304.77

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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.