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Finding the Fourth Proportional to 400,627.12, 600,999.89 and 116,280.82

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Solution

The fourth proportional to 400,627.12, 600,999.89 and 116,280.82 is: 174,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,627.12 : 600,999.89 = 116,280.82 : x
  2. Step 2: Convert to fraction form
    400,627.12/600,999.89 = 116,280.82/x
  3. Step 3: Cross multiply
    400,627.12x = 600,999.89 × 116,280.82
  4. Step 4: Simplify right side
    400,627.12x = 69,884,760,029.11
  5. Step 5: Solve for x
    x = 69,884,760,029.11/400,627.12
  6. Step 6: Final answer
    x = 174,438.42

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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.