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Finding the Fourth Proportional to 584,647.20, 876,711.60 and 269,200.80

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Solution

The fourth proportional to 584,647.20, 876,711.60 and 269,200.80 is: 403,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,647.20 : 876,711.60 = 269,200.80 : x
  2. Step 2: Convert to fraction form
    584,647.20/876,711.60 = 269,200.80/x
  3. Step 3: Cross multiply
    584,647.20x = 876,711.60 × 269,200.80
  4. Step 4: Simplify right side
    584,647.20x = 236,011,464,089.28
  5. Step 5: Solve for x
    x = 236,011,464,089.28/584,647.20
  6. Step 6: Final answer
    x = 403,681.85

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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.