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Finding the Fourth Proportional to 552,410.85, 827,860.29 and 417,363.90

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Solution

The fourth proportional to 552,410.85, 827,860.29 and 417,363.90 is: 625,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,410.85 : 827,860.29 = 417,363.90 : x
  2. Step 2: Convert to fraction form
    552,410.85/827,860.29 = 417,363.90/x
  3. Step 3: Cross multiply
    552,410.85x = 827,860.29 × 417,363.90
  4. Step 4: Simplify right side
    552,410.85x = 345,518,999,289.53
  5. Step 5: Solve for x
    x = 345,518,999,289.53/552,410.85
  6. Step 6: Final answer
    x = 625,474.68

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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.