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Finding the Fourth Proportional to 576,022.80, 864,034.20 and 513,037.20

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Solution

The fourth proportional to 576,022.80, 864,034.20 and 513,037.20 is: 769,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,022.80 : 864,034.20 = 513,037.20 : x
  2. Step 2: Convert to fraction form
    576,022.80/864,034.20 = 513,037.20/x
  3. Step 3: Cross multiply
    576,022.80x = 864,034.20 × 513,037.20
  4. Step 4: Simplify right side
    576,022.80x = 443,281,686,672.24
  5. Step 5: Solve for x
    x = 443,281,686,672.24/576,022.80
  6. Step 6: Final answer
    x = 769,555.80

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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.