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Finding the Fourth Proportional to 410,117.80, 614,658.30 and 199,301.80

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Solution

The fourth proportional to 410,117.80, 614,658.30 and 199,301.80 is: 298,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,117.80 : 614,658.30 = 199,301.80 : x
  2. Step 2: Convert to fraction form
    410,117.80/614,658.30 = 199,301.80/x
  3. Step 3: Cross multiply
    410,117.80x = 614,658.30 × 199,301.80
  4. Step 4: Simplify right side
    410,117.80x = 122,502,505,574.94
  5. Step 5: Solve for x
    x = 122,502,505,574.94/410,117.80
  6. Step 6: Final answer
    x = 298,700.78

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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.