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Finding the Fourth Proportional to 310,651.25, 465,229.51 and 177,126.68

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Solution

The fourth proportional to 310,651.25, 465,229.51 and 177,126.68 is: 265,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,651.25 : 465,229.51 = 177,126.68 : x
  2. Step 2: Convert to fraction form
    310,651.25/465,229.51 = 177,126.68/x
  3. Step 3: Cross multiply
    310,651.25x = 465,229.51 × 177,126.68
  4. Step 4: Simplify right side
    310,651.25x = 82,404,559,264.58
  5. Step 5: Solve for x
    x = 82,404,559,264.58/310,651.25
  6. Step 6: Final answer
    x = 265,263.90

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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.