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Finding the Fourth Proportional to 487,677, 730,851.30 and 274,546.56

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Solution

The fourth proportional to 487,677, 730,851.30 and 274,546.56 is: 411,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,677 : 730,851.30 = 274,546.56 : x
  2. Step 2: Convert to fraction form
    487,677/730,851.30 = 274,546.56/x
  3. Step 3: Cross multiply
    487,677x = 730,851.30 × 274,546.56
  4. Step 4: Simplify right side
    487,677x = 200,652,710,286.53
  5. Step 5: Solve for x
    x = 200,652,710,286.53/487,677
  6. Step 6: Final answer
    x = 411,445.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.