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Finding the Fourth Proportional to 482,679.90, 724,365.45 and 202,398.30

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Solution

The fourth proportional to 482,679.90, 724,365.45 and 202,398.30 is: 303,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,679.90 : 724,365.45 = 202,398.30 : x
  2. Step 2: Convert to fraction form
    482,679.90/724,365.45 = 202,398.30/x
  3. Step 3: Cross multiply
    482,679.90x = 724,365.45 × 202,398.30
  4. Step 4: Simplify right side
    482,679.90x = 146,610,335,658.74
  5. Step 5: Solve for x
    x = 146,610,335,658.74/482,679.90
  6. Step 6: Final answer
    x = 303,742.37

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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.