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Finding the Fourth Proportional to 513,007.20, 769,510.80 and 513,007.20

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Solution

The fourth proportional to 513,007.20, 769,510.80 and 513,007.20 is: 769,510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,007.20 : 769,510.80 = 513,007.20 : x
  2. Step 2: Convert to fraction form
    513,007.20/769,510.80 = 513,007.20/x
  3. Step 3: Cross multiply
    513,007.20x = 769,510.80 × 513,007.20
  4. Step 4: Simplify right side
    513,007.20x = 394,764,580,877.76
  5. Step 5: Solve for x
    x = 394,764,580,877.76/513,007.20
  6. Step 6: Final answer
    x = 769,510.80

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Double scale
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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.