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Finding the Fourth Proportional to 578,507.64, 866,266.20 and 399,146.10

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Solution

The fourth proportional to 578,507.64, 866,266.20 and 399,146.10 is: 597,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,507.64 : 866,266.20 = 399,146.10 : x
  2. Step 2: Convert to fraction form
    578,507.64/866,266.20 = 399,146.10/x
  3. Step 3: Cross multiply
    578,507.64x = 866,266.20 × 399,146.10
  4. Step 4: Simplify right side
    578,507.64x = 345,766,775,291.82
  5. Step 5: Solve for x
    x = 345,766,775,291.82/578,507.64
  6. Step 6: Final answer
    x = 597,687.48

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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.