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Finding the Fourth Proportional to 431,337.80, 647,006.70 and 411,984.20

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Solution

The fourth proportional to 431,337.80, 647,006.70 and 411,984.20 is: 617,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,337.80 : 647,006.70 = 411,984.20 : x
  2. Step 2: Convert to fraction form
    431,337.80/647,006.70 = 411,984.20/x
  3. Step 3: Cross multiply
    431,337.80x = 647,006.70 × 411,984.20
  4. Step 4: Simplify right side
    431,337.80x = 266,556,537,694.14
  5. Step 5: Solve for x
    x = 266,556,537,694.14/431,337.80
  6. Step 6: Final answer
    x = 617,976.30

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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.