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Finding the Fourth Proportional to 400,503.08, 600,661.17 and 116,117.31

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Solution

The fourth proportional to 400,503.08, 600,661.17 and 116,117.31 is: 174,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,503.08 : 600,661.17 = 116,117.31 : x
  2. Step 2: Convert to fraction form
    400,503.08/600,661.17 = 116,117.31/x
  3. Step 3: Cross multiply
    400,503.08x = 600,661.17 × 116,117.31
  4. Step 4: Simplify right side
    400,503.08x = 69,747,159,281.85
  5. Step 5: Solve for x
    x = 69,747,159,281.85/400,503.08
  6. Step 6: Final answer
    x = 174,148.87

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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.