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Finding the Fourth Proportional to 296,894.52, 409,669.92 and 169,543.08

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Solution

The fourth proportional to 296,894.52, 409,669.92 and 169,543.08 is: 233,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,894.52 : 409,669.92 = 169,543.08 : x
  2. Step 2: Convert to fraction form
    296,894.52/409,669.92 = 169,543.08/x
  3. Step 3: Cross multiply
    296,894.52x = 409,669.92 × 169,543.08
  4. Step 4: Simplify right side
    296,894.52x = 69,456,700,020.15
  5. Step 5: Solve for x
    x = 69,456,700,020.15/296,894.52
  6. Step 6: Final answer
    x = 233,944.03

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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.