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Finding the Fourth Proportional to 296,648.46, 409,448.13 and 169,397.88

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Solution

The fourth proportional to 296,648.46, 409,448.13 and 169,397.88 is: 233,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,648.46 : 409,448.13 = 169,397.88 : x
  2. Step 2: Convert to fraction form
    296,648.46/409,448.13 = 169,397.88/x
  3. Step 3: Cross multiply
    296,648.46x = 409,448.13 × 169,397.88
  4. Step 4: Simplify right side
    296,648.46x = 69,359,645,191.96
  5. Step 5: Solve for x
    x = 69,359,645,191.96/296,648.46
  6. Step 6: Final answer
    x = 233,810.91

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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.