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Finding the Fourth Proportional to 650,082.70, 974,970.96 and 365,894.20

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Solution

The fourth proportional to 650,082.70, 974,970.96 and 365,894.20 is: 548,755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,082.70 : 974,970.96 = 365,894.20 : x
  2. Step 2: Convert to fraction form
    650,082.70/974,970.96 = 365,894.20/x
  3. Step 3: Cross multiply
    650,082.70x = 974,970.96 × 365,894.20
  4. Step 4: Simplify right side
    650,082.70x = 356,736,219,432.43
  5. Step 5: Solve for x
    x = 356,736,219,432.43/650,082.70
  6. Step 6: Final answer
    x = 548,755.13

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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.