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Finding the Fourth Proportional to 341,646.80, 512,470.20 and 194,190.80

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Solution

The fourth proportional to 341,646.80, 512,470.20 and 194,190.80 is: 291,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,646.80 : 512,470.20 = 194,190.80 : x
  2. Step 2: Convert to fraction form
    341,646.80/512,470.20 = 194,190.80/x
  3. Step 3: Cross multiply
    341,646.80x = 512,470.20 × 194,190.80
  4. Step 4: Simplify right side
    341,646.80x = 99,516,998,114.16
  5. Step 5: Solve for x
    x = 99,516,998,114.16/341,646.80
  6. Step 6: Final answer
    x = 291,286.20

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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.