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Finding the Fourth Proportional to 296,407.84, 409,081.44 and 169,108.24

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Solution

The fourth proportional to 296,407.84, 409,081.44 and 169,108.24 is: 233,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,407.84 : 409,081.44 = 169,108.24 : x
  2. Step 2: Convert to fraction form
    296,407.84/409,081.44 = 169,108.24/x
  3. Step 3: Cross multiply
    296,407.84x = 409,081.44 × 169,108.24
  4. Step 4: Simplify right side
    296,407.84x = 69,179,042,335.07
  5. Step 5: Solve for x
    x = 69,179,042,335.07/296,407.84
  6. Step 6: Final answer
    x = 233,391.41

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1.5x scale

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.