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Finding the Fourth Proportional to 406,472.30, 560,898.84 and 225,191.87

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Solution

The fourth proportional to 406,472.30, 560,898.84 and 225,191.87 is: 310,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,472.30 : 560,898.84 = 225,191.87 : x
  2. Step 2: Convert to fraction form
    406,472.30/560,898.84 = 225,191.87/x
  3. Step 3: Cross multiply
    406,472.30x = 560,898.84 × 225,191.87
  4. Step 4: Simplify right side
    406,472.30x = 126,309,858,660.43
  5. Step 5: Solve for x
    x = 126,309,858,660.43/406,472.30
  6. Step 6: Final answer
    x = 310,746.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.