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Finding the Fourth Proportional to 361,585.64, 542,046.33 and 193,222.19

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Solution

The fourth proportional to 361,585.64, 542,046.33 and 193,222.19 is: 289,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,585.64 : 542,046.33 = 193,222.19 : x
  2. Step 2: Convert to fraction form
    361,585.64/542,046.33 = 193,222.19/x
  3. Step 3: Cross multiply
    361,585.64x = 542,046.33 × 193,222.19
  4. Step 4: Simplify right side
    361,585.64x = 104,735,380,319.18
  5. Step 5: Solve for x
    x = 104,735,380,319.18/361,585.64
  6. Step 6: Final answer
    x = 289,655.80

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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.