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Finding the Fourth Proportional to 400,509.60, 600,670.92 and 116,123.82

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Solution

The fourth proportional to 400,509.60, 600,670.92 and 116,123.82 is: 174,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,509.60 : 600,670.92 = 116,123.82 : x
  2. Step 2: Convert to fraction form
    400,509.60/600,670.92 = 116,123.82/x
  3. Step 3: Cross multiply
    400,509.60x = 600,670.92 × 116,123.82
  4. Step 4: Simplify right side
    400,509.60x = 69,752,201,793.31
  5. Step 5: Solve for x
    x = 69,752,201,793.31/400,509.60
  6. Step 6: Final answer
    x = 174,158.63

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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.