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Finding the Fourth Proportional to 469,951.74, 704,927.61 and 137,527.74

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Solution

The fourth proportional to 469,951.74, 704,927.61 and 137,527.74 is: 206,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,951.74 : 704,927.61 = 137,527.74 : x
  2. Step 2: Convert to fraction form
    469,951.74/704,927.61 = 137,527.74/x
  3. Step 3: Cross multiply
    469,951.74x = 704,927.61 × 137,527.74
  4. Step 4: Simplify right side
    469,951.74x = 96,947,101,066.90
  5. Step 5: Solve for x
    x = 96,947,101,066.90/469,951.74
  6. Step 6: Final answer
    x = 206,291.61

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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.