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Finding the Fourth Proportional to 233,105.47, 350,324.58 and 217,309.93

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Solution

The fourth proportional to 233,105.47, 350,324.58 and 217,309.93 is: 326,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,105.47 : 350,324.58 = 217,309.93 : x
  2. Step 2: Convert to fraction form
    233,105.47/350,324.58 = 217,309.93/x
  3. Step 3: Cross multiply
    233,105.47x = 350,324.58 × 217,309.93
  4. Step 4: Simplify right side
    233,105.47x = 76,129,009,957.08
  5. Step 5: Solve for x
    x = 76,129,009,957.08/233,105.47
  6. Step 6: Final answer
    x = 326,586.12

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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.