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Finding the Fourth Proportional to 296,474.65, 409,135.16 and 160,508.62

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Solution

The fourth proportional to 296,474.65, 409,135.16 and 160,508.62 is: 221,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,474.65 : 409,135.16 = 160,508.62 : x
  2. Step 2: Convert to fraction form
    296,474.65/409,135.16 = 160,508.62/x
  3. Step 3: Cross multiply
    296,474.65x = 409,135.16 × 160,508.62
  4. Step 4: Simplify right side
    296,474.65x = 65,669,719,925.08
  5. Step 5: Solve for x
    x = 65,669,719,925.08/296,474.65
  6. Step 6: Final answer
    x = 221,501.97

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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.