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Finding the Fourth Proportional to 313,744.52, 432,970.18 and 170,504.55

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Solution

The fourth proportional to 313,744.52, 432,970.18 and 170,504.55 is: 235,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,744.52 : 432,970.18 = 170,504.55 : x
  2. Step 2: Convert to fraction form
    313,744.52/432,970.18 = 170,504.55/x
  3. Step 3: Cross multiply
    313,744.52x = 432,970.18 × 170,504.55
  4. Step 4: Simplify right side
    313,744.52x = 73,823,385,278.06
  5. Step 5: Solve for x
    x = 73,823,385,278.06/313,744.52
  6. Step 6: Final answer
    x = 235,297.77

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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.