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Finding the Fourth Proportional to 314,761.20, 472,281.24 and 164,965.68

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Solution

The fourth proportional to 314,761.20, 472,281.24 and 164,965.68 is: 247,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,761.20 : 472,281.24 = 164,965.68 : x
  2. Step 2: Convert to fraction form
    314,761.20/472,281.24 = 164,965.68/x
  3. Step 3: Cross multiply
    314,761.20x = 472,281.24 × 164,965.68
  4. Step 4: Simplify right side
    314,761.20x = 77,910,195,907.84
  5. Step 5: Solve for x
    x = 77,910,195,907.84/314,761.20
  6. Step 6: Final answer
    x = 247,521.60

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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.