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Finding the Fourth Proportional to 577,962.40, 866,943.60 and 204,023.20

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Solution

The fourth proportional to 577,962.40, 866,943.60 and 204,023.20 is: 306,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,962.40 : 866,943.60 = 204,023.20 : x
  2. Step 2: Convert to fraction form
    577,962.40/866,943.60 = 204,023.20/x
  3. Step 3: Cross multiply
    577,962.40x = 866,943.60 × 204,023.20
  4. Step 4: Simplify right side
    577,962.40x = 176,876,607,491.52
  5. Step 5: Solve for x
    x = 176,876,607,491.52/577,962.40
  6. Step 6: Final answer
    x = 306,034.80

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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.