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Finding the Fourth Proportional to 322,472.70, 483,710.22 and 97,835.04

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Solution

The fourth proportional to 322,472.70, 483,710.22 and 97,835.04 is: 146,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,472.70 : 483,710.22 = 97,835.04 : x
  2. Step 2: Convert to fraction form
    322,472.70/483,710.22 = 97,835.04/x
  3. Step 3: Cross multiply
    322,472.70x = 483,710.22 × 97,835.04
  4. Step 4: Simplify right side
    322,472.70x = 47,323,808,722.11
  5. Step 5: Solve for x
    x = 47,323,808,722.11/322,472.70
  6. Step 6: Final answer
    x = 146,752.91

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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.