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Finding the Fourth Proportional to 520,022.60, 780,033.90 and 431,376.20

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Solution

The fourth proportional to 520,022.60, 780,033.90 and 431,376.20 is: 647,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,022.60 : 780,033.90 = 431,376.20 : x
  2. Step 2: Convert to fraction form
    520,022.60/780,033.90 = 431,376.20/x
  3. Step 3: Cross multiply
    520,022.60x = 780,033.90 × 431,376.20
  4. Step 4: Simplify right side
    520,022.60x = 336,488,059,653.18
  5. Step 5: Solve for x
    x = 336,488,059,653.18/520,022.60
  6. Step 6: Final answer
    x = 647,064.30

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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.