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Finding the Fourth Proportional to 584,728.80, 876,412.80 and 269,217.60

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Solution

The fourth proportional to 584,728.80, 876,412.80 and 269,217.60 is: 403,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,728.80 : 876,412.80 = 269,217.60 : x
  2. Step 2: Convert to fraction form
    584,728.80/876,412.80 = 269,217.60/x
  3. Step 3: Cross multiply
    584,728.80x = 876,412.80 × 269,217.60
  4. Step 4: Simplify right side
    584,728.80x = 235,945,750,625.28
  5. Step 5: Solve for x
    x = 235,945,750,625.28/584,728.80
  6. Step 6: Final answer
    x = 403,513.13

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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.