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Finding the Fourth Proportional to 296,384.92, 409,010.04 and 160,421.18

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Solution

The fourth proportional to 296,384.92, 409,010.04 and 160,421.18 is: 221,380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,384.92 : 409,010.04 = 160,421.18 : x
  2. Step 2: Convert to fraction form
    296,384.92/409,010.04 = 160,421.18/x
  3. Step 3: Cross multiply
    296,384.92x = 409,010.04 × 160,421.18
  4. Step 4: Simplify right side
    296,384.92x = 65,613,873,248.65
  5. Step 5: Solve for x
    x = 65,613,873,248.65/296,384.92
  6. Step 6: Final answer
    x = 221,380.61

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Why These Related Problems?

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