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Finding the Fourth Proportional to 322,501.42, 483,753.20 and 97,863.72

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Solution

The fourth proportional to 322,501.42, 483,753.20 and 97,863.72 is: 146,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,501.42 : 483,753.20 = 97,863.72 : x
  2. Step 2: Convert to fraction form
    322,501.42/483,753.20 = 97,863.72/x
  3. Step 3: Cross multiply
    322,501.42x = 483,753.20 × 97,863.72
  4. Step 4: Simplify right side
    322,501.42x = 47,341,887,713.90
  5. Step 5: Solve for x
    x = 47,341,887,713.90/322,501.42
  6. Step 6: Final answer
    x = 146,795.90

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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.