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Finding the Fourth Proportional to 409,326.87, 613,242.13 and 296,727.83

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Solution

The fourth proportional to 409,326.87, 613,242.13 and 296,727.83 is: 444,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,326.87 : 613,242.13 = 296,727.83 : x
  2. Step 2: Convert to fraction form
    409,326.87/613,242.13 = 296,727.83/x
  3. Step 3: Cross multiply
    409,326.87x = 613,242.13 × 296,727.83
  4. Step 4: Simplify right side
    409,326.87x = 181,966,006,499.48
  5. Step 5: Solve for x
    x = 181,966,006,499.48/409,326.87
  6. Step 6: Final answer
    x = 444,549.38

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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.