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Finding the Fourth Proportional to 366,895.80, 550,023.70 and 142,409.40

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Solution

The fourth proportional to 366,895.80, 550,023.70 and 142,409.40 is: 213,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,895.80 : 550,023.70 = 142,409.40 : x
  2. Step 2: Convert to fraction form
    366,895.80/550,023.70 = 142,409.40/x
  3. Step 3: Cross multiply
    366,895.80x = 550,023.70 × 142,409.40
  4. Step 4: Simplify right side
    366,895.80x = 78,328,545,102.78
  5. Step 5: Solve for x
    x = 78,328,545,102.78/366,895.80
  6. Step 6: Final answer
    x = 213,489.89

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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.