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Finding the Fourth Proportional to 409,519.80, 614,279.70 and 386,191.80

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Solution

The fourth proportional to 409,519.80, 614,279.70 and 386,191.80 is: 579,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,519.80 : 614,279.70 = 386,191.80 : x
  2. Step 2: Convert to fraction form
    409,519.80/614,279.70 = 386,191.80/x
  3. Step 3: Cross multiply
    409,519.80x = 614,279.70 × 386,191.80
  4. Step 4: Simplify right side
    409,519.80x = 237,229,783,046.46
  5. Step 5: Solve for x
    x = 237,229,783,046.46/409,519.80
  6. Step 6: Final answer
    x = 579,287.70

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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.