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Finding the Fourth Proportional to 522,057.80, 783,086.70 and 312,105.80

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Solution

The fourth proportional to 522,057.80, 783,086.70 and 312,105.80 is: 468,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,057.80 : 783,086.70 = 312,105.80 : x
  2. Step 2: Convert to fraction form
    522,057.80/783,086.70 = 312,105.80/x
  3. Step 3: Cross multiply
    522,057.80x = 783,086.70 × 312,105.80
  4. Step 4: Simplify right side
    522,057.80x = 244,405,900,972.86
  5. Step 5: Solve for x
    x = 244,405,900,972.86/522,057.80
  6. Step 6: Final answer
    x = 468,158.70

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Similar ratio
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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.