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Finding the Fourth Proportional to 409,726.80, 614,935.80 and 199,544.40

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Solution

The fourth proportional to 409,726.80, 614,935.80 and 199,544.40 is: 299,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,726.80 : 614,935.80 = 199,544.40 : x
  2. Step 2: Convert to fraction form
    409,726.80/614,935.80 = 199,544.40/x
  3. Step 3: Cross multiply
    409,726.80x = 614,935.80 × 199,544.40
  4. Step 4: Simplify right side
    409,726.80x = 122,706,995,249.52
  5. Step 5: Solve for x
    x = 122,706,995,249.52/409,726.80
  6. Step 6: Final answer
    x = 299,484.91

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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.