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Finding the Fourth Proportional to 310,319.53, 465,148.51 and 176,912.53

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Solution

The fourth proportional to 310,319.53, 465,148.51 and 176,912.53 is: 265,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,319.53 : 465,148.51 = 176,912.53 : x
  2. Step 2: Convert to fraction form
    310,319.53/465,148.51 = 176,912.53/x
  3. Step 3: Cross multiply
    310,319.53x = 465,148.51 × 176,912.53
  4. Step 4: Simplify right side
    310,319.53x = 82,290,598,124.68
  5. Step 5: Solve for x
    x = 82,290,598,124.68/310,319.53
  6. Step 6: Final answer
    x = 265,180.21

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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.