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Finding the Fourth Proportional to 649,301.10, 973,951.65 and 365,865.90

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Solution

The fourth proportional to 649,301.10, 973,951.65 and 365,865.90 is: 548,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,301.10 : 973,951.65 = 365,865.90 : x
  2. Step 2: Convert to fraction form
    649,301.10/973,951.65 = 365,865.90/x
  3. Step 3: Cross multiply
    649,301.10x = 973,951.65 × 365,865.90
  4. Step 4: Simplify right side
    649,301.10x = 356,335,696,983.74
  5. Step 5: Solve for x
    x = 356,335,696,983.74/649,301.10
  6. Step 6: Final answer
    x = 548,798.85

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1.5x scale

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.