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Finding the Fourth Proportional to 314,809.23, 472,352.97 and 165,013.71

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Solution

The fourth proportional to 314,809.23, 472,352.97 and 165,013.71 is: 247,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,809.23 : 472,352.97 = 165,013.71 : x
  2. Step 2: Convert to fraction form
    314,809.23/472,352.97 = 165,013.71/x
  3. Step 3: Cross multiply
    314,809.23x = 472,352.97 × 165,013.71
  4. Step 4: Simplify right side
    314,809.23x = 77,944,713,647.45
  5. Step 5: Solve for x
    x = 77,944,713,647.45/314,809.23
  6. Step 6: Final answer
    x = 247,593.48

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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.