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Finding the Fourth Proportional to 296,534.93, 409,247.51 and 169,229.66

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Solution

The fourth proportional to 296,534.93, 409,247.51 and 169,229.66 is: 233,553.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,534.93 : 409,247.51 = 169,229.66 : x
  2. Step 2: Convert to fraction form
    296,534.93/409,247.51 = 169,229.66/x
  3. Step 3: Cross multiply
    296,534.93x = 409,247.51 × 169,229.66
  4. Step 4: Simplify right side
    296,534.93x = 69,256,814,080.76
  5. Step 5: Solve for x
    x = 69,256,814,080.76/296,534.93
  6. Step 6: Final answer
    x = 233,553.65

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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.