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Finding the Fourth Proportional to 400,503.26, 600,661.44 and 116,117.49

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Solution

The fourth proportional to 400,503.26, 600,661.44 and 116,117.49 is: 174,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,503.26 : 600,661.44 = 116,117.49 : x
  2. Step 2: Convert to fraction form
    400,503.26/600,661.44 = 116,117.49/x
  3. Step 3: Cross multiply
    400,503.26x = 600,661.44 × 116,117.49
  4. Step 4: Simplify right side
    400,503.26x = 69,747,298,752.59
  5. Step 5: Solve for x
    x = 69,747,298,752.59/400,503.26
  6. Step 6: Final answer
    x = 174,149.14

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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.