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Finding the Fourth Proportional to 314,924.40, 472,244.42 and 90,233.37

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Solution

The fourth proportional to 314,924.40, 472,244.42 and 90,233.37 is: 135,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,924.40 : 472,244.42 = 90,233.37 : x
  2. Step 2: Convert to fraction form
    314,924.40/472,244.42 = 90,233.37/x
  3. Step 3: Cross multiply
    314,924.40x = 472,244.42 × 90,233.37
  4. Step 4: Simplify right side
    314,924.40x = 42,612,206,209.74
  5. Step 5: Solve for x
    x = 42,612,206,209.74/314,924.40
  6. Step 6: Final answer
    x = 135,309.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.