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Finding the Fourth Proportional to 296,648.64, 409,304.19 and 175,769.03

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Solution

The fourth proportional to 296,648.64, 409,304.19 and 175,769.03 is: 242,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,648.64 : 409,304.19 = 175,769.03 : x
  2. Step 2: Convert to fraction form
    296,648.64/409,304.19 = 175,769.03/x
  3. Step 3: Cross multiply
    296,648.64x = 409,304.19 × 175,769.03
  4. Step 4: Simplify right side
    296,648.64x = 71,943,000,451.24
  5. Step 5: Solve for x
    x = 71,943,000,451.24/296,648.64
  6. Step 6: Final answer
    x = 242,519.23

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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.