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Finding the Fourth Proportional to 361,585.52, 542,046.14 and 193,222.07

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Solution

The fourth proportional to 361,585.52, 542,046.14 and 193,222.07 is: 289,655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,585.52 : 542,046.14 = 193,222.07 : x
  2. Step 2: Convert to fraction form
    361,585.52/542,046.14 = 193,222.07/x
  3. Step 3: Cross multiply
    361,585.52x = 542,046.14 × 193,222.07
  4. Step 4: Simplify right side
    361,585.52x = 104,735,277,206.31
  5. Step 5: Solve for x
    x = 104,735,277,206.31/361,585.52
  6. Step 6: Final answer
    x = 289,655.62

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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.