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Finding the Fourth Proportional to 627,892.16, 866,478.92 and 341,409.68

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Solution

The fourth proportional to 627,892.16, 866,478.92 and 341,409.68 is: 471,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,892.16 : 866,478.92 = 341,409.68 : x
  2. Step 2: Convert to fraction form
    627,892.16/866,478.92 = 341,409.68/x
  3. Step 3: Cross multiply
    627,892.16x = 866,478.92 × 341,409.68
  4. Step 4: Simplify right side
    627,892.16x = 295,824,290,803.95
  5. Step 5: Solve for x
    x = 295,824,290,803.95/627,892.16
  6. Step 6: Final answer
    x = 471,138.69

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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.