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Finding the Fourth Proportional to 296,590.87, 409,293.34 and 160,621.70

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Solution

The fourth proportional to 296,590.87, 409,293.34 and 160,621.70 is: 221,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,590.87 : 409,293.34 = 160,621.70 : x
  2. Step 2: Convert to fraction form
    296,590.87/409,293.34 = 160,621.70/x
  3. Step 3: Cross multiply
    296,590.87x = 409,293.34 × 160,621.70
  4. Step 4: Simplify right side
    296,590.87x = 65,741,391,923.73
  5. Step 5: Solve for x
    x = 65,741,391,923.73/296,590.87
  6. Step 6: Final answer
    x = 221,656.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.