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Finding the Fourth Proportional to 322,471.20, 483,710.85 and 97,833.90

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Solution

The fourth proportional to 322,471.20, 483,710.85 and 97,833.90 is: 146,752.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,471.20 : 483,710.85 = 97,833.90 : x
  2. Step 2: Convert to fraction form
    322,471.20/483,710.85 = 97,833.90/x
  3. Step 3: Cross multiply
    322,471.20x = 483,710.85 × 97,833.90
  4. Step 4: Simplify right side
    322,471.20x = 47,323,318,927.82
  5. Step 5: Solve for x
    x = 47,323,318,927.82/322,471.20
  6. Step 6: Final answer
    x = 146,752.08

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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.