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Finding the Fourth Proportional to 361,502.50, 542,578.98 and 193,166.72

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Solution

The fourth proportional to 361,502.50, 542,578.98 and 193,166.72 is: 289,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,502.50 : 542,578.98 = 193,166.72 : x
  2. Step 2: Convert to fraction form
    361,502.50/542,578.98 = 193,166.72/x
  3. Step 3: Cross multiply
    361,502.50x = 542,578.98 × 193,166.72
  4. Step 4: Simplify right side
    361,502.50x = 104,808,201,907.55
  5. Step 5: Solve for x
    x = 104,808,201,907.55/361,502.50
  6. Step 6: Final answer
    x = 289,923.86

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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.