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Finding the Fourth Proportional to 400,419.84, 552,503.68 and 247,591.68

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Solution

The fourth proportional to 400,419.84, 552,503.68 and 247,591.68 is: 341,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,419.84 : 552,503.68 = 247,591.68 : x
  2. Step 2: Convert to fraction form
    400,419.84/552,503.68 = 247,591.68/x
  3. Step 3: Cross multiply
    400,419.84x = 552,503.68 × 247,591.68
  4. Step 4: Simplify right side
    400,419.84x = 136,795,314,337.38
  5. Step 5: Solve for x
    x = 136,795,314,337.38/400,419.84
  6. Step 6: Final answer
    x = 341,629.71

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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.