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Finding the Fourth Proportional to 296,712.32, 409,454.48 and 174,202.66

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Solution

The fourth proportional to 296,712.32, 409,454.48 and 174,202.66 is: 240,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,712.32 : 409,454.48 = 174,202.66 : x
  2. Step 2: Convert to fraction form
    296,712.32/409,454.48 = 174,202.66/x
  3. Step 3: Cross multiply
    296,712.32x = 409,454.48 × 174,202.66
  4. Step 4: Simplify right side
    296,712.32x = 71,328,058,976.79
  5. Step 5: Solve for x
    x = 71,328,058,976.79/296,712.32
  6. Step 6: Final answer
    x = 240,394.66

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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.