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Finding the Fourth Proportional to 522,850.14, 784,180.85 and 138,601.53

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Solution

The fourth proportional to 522,850.14, 784,180.85 and 138,601.53 is: 207,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,850.14 : 784,180.85 = 138,601.53 : x
  2. Step 2: Convert to fraction form
    522,850.14/784,180.85 = 138,601.53/x
  3. Step 3: Cross multiply
    522,850.14x = 784,180.85 × 138,601.53
  4. Step 4: Simplify right side
    522,850.14x = 108,688,664,913.69
  5. Step 5: Solve for x
    x = 108,688,664,913.69/522,850.14
  6. Step 6: Final answer
    x = 207,877.28

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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.