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Finding the Fourth Proportional to 400,502.88, 600,660.87 and 116,117.11

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Solution

The fourth proportional to 400,502.88, 600,660.87 and 116,117.11 is: 174,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,502.88 : 600,660.87 = 116,117.11 : x
  2. Step 2: Convert to fraction form
    400,502.88/600,660.87 = 116,117.11/x
  3. Step 3: Cross multiply
    400,502.88x = 600,660.87 × 116,117.11
  4. Step 4: Simplify right side
    400,502.88x = 69,747,001,904.31
  5. Step 5: Solve for x
    x = 69,747,001,904.31/400,502.88
  6. Step 6: Final answer
    x = 174,148.57

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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.