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Finding the Fourth Proportional to 322,471.95, 483,709.10 and 97,834.29

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Solution

The fourth proportional to 322,471.95, 483,709.10 and 97,834.29 is: 146,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,471.95 : 483,709.10 = 97,834.29 : x
  2. Step 2: Convert to fraction form
    322,471.95/483,709.10 = 97,834.29/x
  3. Step 3: Cross multiply
    322,471.95x = 483,709.10 × 97,834.29
  4. Step 4: Simplify right side
    322,471.95x = 47,323,335,875.87
  5. Step 5: Solve for x
    x = 47,323,335,875.87/322,471.95
  6. Step 6: Final answer
    x = 146,751.79

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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.