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Finding the Fourth Proportional to 376,706.81, 519,864.77 and 204,624.72

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Solution

The fourth proportional to 376,706.81, 519,864.77 and 204,624.72 is: 282,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,706.81 : 519,864.77 = 204,624.72 : x
  2. Step 2: Convert to fraction form
    376,706.81/519,864.77 = 204,624.72/x
  3. Step 3: Cross multiply
    376,706.81x = 519,864.77 × 204,624.72
  4. Step 4: Simplify right side
    376,706.81x = 106,377,181,606.13
  5. Step 5: Solve for x
    x = 106,377,181,606.13/376,706.81
  6. Step 6: Final answer
    x = 282,387.20

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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.