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Finding the Fourth Proportional to 397,054.78, 595,693.34 and 160,563.52

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Solution

The fourth proportional to 397,054.78, 595,693.34 and 160,563.52 is: 240,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,054.78 : 595,693.34 = 160,563.52 : x
  2. Step 2: Convert to fraction form
    397,054.78/595,693.34 = 160,563.52/x
  3. Step 3: Cross multiply
    397,054.78x = 595,693.34 × 160,563.52
  4. Step 4: Simplify right side
    397,054.78x = 95,646,619,510.96
  5. Step 5: Solve for x
    x = 95,646,619,510.96/397,054.78
  6. Step 6: Final answer
    x = 240,890.24

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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.