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Finding the Fourth Proportional to 656,463.24, 984,301.20 and 301,032

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Solution

The fourth proportional to 656,463.24, 984,301.20 and 301,032 is: 451,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,463.24 : 984,301.20 = 301,032 : x
  2. Step 2: Convert to fraction form
    656,463.24/984,301.20 = 301,032/x
  3. Step 3: Cross multiply
    656,463.24x = 984,301.20 × 301,032
  4. Step 4: Simplify right side
    656,463.24x = 296,306,158,838.40
  5. Step 5: Solve for x
    x = 296,306,158,838.40/656,463.24
  6. Step 6: Final answer
    x = 451,367.48

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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.