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Finding the Fourth Proportional to 517,695.64, 776,551.49 and 162,709.66

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Solution

The fourth proportional to 517,695.64, 776,551.49 and 162,709.66 is: 244,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,695.64 : 776,551.49 = 162,709.66 : x
  2. Step 2: Convert to fraction form
    517,695.64/776,551.49 = 162,709.66/x
  3. Step 3: Cross multiply
    517,695.64x = 776,551.49 × 162,709.66
  4. Step 4: Simplify right side
    517,695.64x = 126,352,429,677.70
  5. Step 5: Solve for x
    x = 126,352,429,677.70/517,695.64
  6. Step 6: Final answer
    x = 244,067.02

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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.