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Finding the Fourth Proportional to 309,724.56, 464,717.52 and 169,319.16

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Solution

The fourth proportional to 309,724.56, 464,717.52 and 169,319.16 is: 254,050.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,724.56 : 464,717.52 = 169,319.16 : x
  2. Step 2: Convert to fraction form
    309,724.56/464,717.52 = 169,319.16/x
  3. Step 3: Cross multiply
    309,724.56x = 464,717.52 × 169,319.16
  4. Step 4: Simplify right side
    309,724.56x = 78,685,580,123.68
  5. Step 5: Solve for x
    x = 78,685,580,123.68/309,724.56
  6. Step 6: Final answer
    x = 254,050.18

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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.