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Finding the Fourth Proportional to 314,013.33, 470,806.79 and 159,760.19

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Solution

The fourth proportional to 314,013.33, 470,806.79 and 159,760.19 is: 239,531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,013.33 : 470,806.79 = 159,760.19 : x
  2. Step 2: Convert to fraction form
    314,013.33/470,806.79 = 159,760.19/x
  3. Step 3: Cross multiply
    314,013.33x = 470,806.79 × 159,760.19
  4. Step 4: Simplify right side
    314,013.33x = 75,216,182,601.91
  5. Step 5: Solve for x
    x = 75,216,182,601.91/314,013.33
  6. Step 6: Final answer
    x = 239,531.81

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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.