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Finding the Fourth Proportional to 469,517.70, 704,276.55 and 137,093.70

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Solution

The fourth proportional to 469,517.70, 704,276.55 and 137,093.70 is: 205,640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,517.70 : 704,276.55 = 137,093.70 : x
  2. Step 2: Convert to fraction form
    469,517.70/704,276.55 = 137,093.70/x
  3. Step 3: Cross multiply
    469,517.70x = 704,276.55 × 137,093.70
  4. Step 4: Simplify right side
    469,517.70x = 96,551,878,062.74
  5. Step 5: Solve for x
    x = 96,551,878,062.74/469,517.70
  6. Step 6: Final answer
    x = 205,640.55

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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.