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Finding the Fourth Proportional to 400,502.97, 600,661.01 and 116,117.19

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Solution

The fourth proportional to 400,502.97, 600,661.01 and 116,117.19 is: 174,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,502.97 : 600,661.01 = 116,117.19 : x
  2. Step 2: Convert to fraction form
    400,502.97/600,661.01 = 116,117.19/x
  3. Step 3: Cross multiply
    400,502.97x = 600,661.01 × 116,117.19
  4. Step 4: Simplify right side
    400,502.97x = 69,747,068,043.18
  5. Step 5: Solve for x
    x = 69,747,068,043.18/400,502.97
  6. Step 6: Final answer
    x = 174,148.69

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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.