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Finding the Fourth Proportional to 552,411.85, 827,861.79 and 417,364.90

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Solution

The fourth proportional to 552,411.85, 827,861.79 and 417,364.90 is: 625,476.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,411.85 : 827,861.79 = 417,364.90 : x
  2. Step 2: Convert to fraction form
    552,411.85/827,861.79 = 417,364.90/x
  3. Step 3: Cross multiply
    552,411.85x = 827,861.79 × 417,364.90
  4. Step 4: Simplify right side
    552,411.85x = 345,520,453,197.17
  5. Step 5: Solve for x
    x = 345,520,453,197.17/552,411.85
  6. Step 6: Final answer
    x = 625,476.18

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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.