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Finding the Fourth Proportional to 512,970.68, 769,499.76 and 133,941.71

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Solution

The fourth proportional to 512,970.68, 769,499.76 and 133,941.71 is: 200,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,970.68 : 769,499.76 = 133,941.71 : x
  2. Step 2: Convert to fraction form
    512,970.68/769,499.76 = 133,941.71/x
  3. Step 3: Cross multiply
    512,970.68x = 769,499.76 × 133,941.71
  4. Step 4: Simplify right side
    512,970.68x = 103,068,109,851.49
  5. Step 5: Solve for x
    x = 103,068,109,851.49/512,970.68
  6. Step 6: Final answer
    x = 200,923.98

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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.