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Finding the Fourth Proportional to 397,059.77, 595,700.83 and 160,568.53

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Solution

The fourth proportional to 397,059.77, 595,700.83 and 160,568.53 is: 240,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,059.77 : 595,700.83 = 160,568.53 : x
  2. Step 2: Convert to fraction form
    397,059.77/595,700.83 = 160,568.53/x
  3. Step 3: Cross multiply
    397,059.77x = 595,700.83 × 160,568.53
  4. Step 4: Simplify right side
    397,059.77x = 95,650,805,304.34
  5. Step 5: Solve for x
    x = 95,650,805,304.34/397,059.77
  6. Step 6: Final answer
    x = 240,897.75

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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.