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Finding the Fourth Proportional to 577,985.10, 866,977.65 and 566,175.30

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Solution

The fourth proportional to 577,985.10, 866,977.65 and 566,175.30 is: 849,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,985.10 : 866,977.65 = 566,175.30 : x
  2. Step 2: Convert to fraction form
    577,985.10/866,977.65 = 566,175.30/x
  3. Step 3: Cross multiply
    577,985.10x = 866,977.65 × 566,175.30
  4. Step 4: Simplify right side
    577,985.10x = 490,861,331,082.05
  5. Step 5: Solve for x
    x = 490,861,331,082.05/577,985.10
  6. Step 6: Final answer
    x = 849,262.95

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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.