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Finding the Fourth Proportional to 463,781.12, 698,830.68 and 381,386.84

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Solution

The fourth proportional to 463,781.12, 698,830.68 and 381,386.84 is: 574,678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,781.12 : 698,830.68 = 381,386.84 : x
  2. Step 2: Convert to fraction form
    463,781.12/698,830.68 = 381,386.84/x
  3. Step 3: Cross multiply
    463,781.12x = 698,830.68 × 381,386.84
  4. Step 4: Simplify right side
    463,781.12x = 266,524,824,740.25
  5. Step 5: Solve for x
    x = 266,524,824,740.25/463,781.12
  6. Step 6: Final answer
    x = 574,678.04

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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.