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Finding the Fourth Proportional to 397,027.64, 595,537.68 and 160,366.16

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Solution

The fourth proportional to 397,027.64, 595,537.68 and 160,366.16 is: 240,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,027.64 : 595,537.68 = 160,366.16 : x
  2. Step 2: Convert to fraction form
    397,027.64/595,537.68 = 160,366.16/x
  3. Step 3: Cross multiply
    397,027.64x = 595,537.68 × 160,366.16
  4. Step 4: Simplify right side
    397,027.64x = 95,504,090,876.91
  5. Step 5: Solve for x
    x = 95,504,090,876.91/397,027.64
  6. Step 6: Final answer
    x = 240,547.71

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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.