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Finding the Fourth Proportional to 431,339.80, 647,009.70 and 411,986.20

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Solution

The fourth proportional to 431,339.80, 647,009.70 and 411,986.20 is: 617,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,339.80 : 647,009.70 = 411,986.20 : x
  2. Step 2: Convert to fraction form
    431,339.80/647,009.70 = 411,986.20/x
  3. Step 3: Cross multiply
    431,339.80x = 647,009.70 × 411,986.20
  4. Step 4: Simplify right side
    431,339.80x = 266,559,067,666.14
  5. Step 5: Solve for x
    x = 266,559,067,666.14/431,339.80
  6. Step 6: Final answer
    x = 617,979.30

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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.