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Finding the Fourth Proportional to 322,595.86, 483,862.50 and 97,958.24

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Solution

The fourth proportional to 322,595.86, 483,862.50 and 97,958.24 is: 146,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,595.86 : 483,862.50 = 97,958.24 : x
  2. Step 2: Convert to fraction form
    322,595.86/483,862.50 = 97,958.24/x
  3. Step 3: Cross multiply
    322,595.86x = 483,862.50 × 97,958.24
  4. Step 4: Simplify right side
    322,595.86x = 47,398,318,902
  5. Step 5: Solve for x
    x = 47,398,318,902/322,595.86
  6. Step 6: Final answer
    x = 146,927.86

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1.5x scale

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.