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Finding the Fourth Proportional to 463,781.11, 698,830.70 and 381,386.83

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Solution

The fourth proportional to 463,781.11, 698,830.70 and 381,386.83 is: 574,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,781.11 : 698,830.70 = 381,386.83 : x
  2. Step 2: Convert to fraction form
    463,781.11/698,830.70 = 381,386.83/x
  3. Step 3: Cross multiply
    463,781.11x = 698,830.70 × 381,386.83
  4. Step 4: Simplify right side
    463,781.11x = 266,524,825,379.68
  5. Step 5: Solve for x
    x = 266,524,825,379.68/463,781.11
  6. Step 6: Final answer
    x = 574,678.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.