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Finding the Fourth Proportional to 584,498.01, 876,586.20 and 200,241.21

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Solution

The fourth proportional to 584,498.01, 876,586.20 and 200,241.21 is: 300,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,498.01 : 876,586.20 = 200,241.21 : x
  2. Step 2: Convert to fraction form
    584,498.01/876,586.20 = 200,241.21/x
  3. Step 3: Cross multiply
    584,498.01x = 876,586.20 × 200,241.21
  4. Step 4: Simplify right side
    584,498.01x = 175,528,681,357.30
  5. Step 5: Solve for x
    x = 175,528,681,357.30/584,498.01
  6. Step 6: Final answer
    x = 300,306.72

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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.