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Finding the Fourth Proportional to 402,194.94, 603,370.17 and 152,857.50

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Solution

The fourth proportional to 402,194.94, 603,370.17 and 152,857.50 is: 229,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,194.94 : 603,370.17 = 152,857.50 : x
  2. Step 2: Convert to fraction form
    402,194.94/603,370.17 = 152,857.50/x
  3. Step 3: Cross multiply
    402,194.94x = 603,370.17 × 152,857.50
  4. Step 4: Simplify right side
    402,194.94x = 92,229,655,760.78
  5. Step 5: Solve for x
    x = 92,229,655,760.78/402,194.94
  6. Step 6: Final answer
    x = 229,315.80

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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.