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Finding the Fourth Proportional to 397,134.58, 595,775.72 and 160,643.32

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Solution

The fourth proportional to 397,134.58, 595,775.72 and 160,643.32 is: 240,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,134.58 : 595,775.72 = 160,643.32 : x
  2. Step 2: Convert to fraction form
    397,134.58/595,775.72 = 160,643.32/x
  3. Step 3: Cross multiply
    397,134.58x = 595,775.72 × 160,643.32
  4. Step 4: Simplify right side
    397,134.58x = 95,707,389,636.19
  5. Step 5: Solve for x
    x = 95,707,389,636.19/397,134.58
  6. Step 6: Final answer
    x = 240,994.85

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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.