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Finding the Fourth Proportional to 264,471.15, 396,317.68 and 156,289.15

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Solution

The fourth proportional to 264,471.15, 396,317.68 and 156,289.15 is: 234,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,471.15 : 396,317.68 = 156,289.15 : x
  2. Step 2: Convert to fraction form
    264,471.15/396,317.68 = 156,289.15/x
  3. Step 3: Cross multiply
    264,471.15x = 396,317.68 × 156,289.15
  4. Step 4: Simplify right side
    264,471.15x = 61,940,153,337.17
  5. Step 5: Solve for x
    x = 61,940,153,337.17/264,471.15
  6. Step 6: Final answer
    x = 234,203.82

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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.