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Finding the Fourth Proportional to 402,289.50, 603,434.25 and 102,770.74

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Solution

The fourth proportional to 402,289.50, 603,434.25 and 102,770.74 is: 154,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,289.50 : 603,434.25 = 102,770.74 : x
  2. Step 2: Convert to fraction form
    402,289.50/603,434.25 = 102,770.74/x
  3. Step 3: Cross multiply
    402,289.50x = 603,434.25 × 102,770.74
  4. Step 4: Simplify right side
    402,289.50x = 62,015,384,413.85
  5. Step 5: Solve for x
    x = 62,015,384,413.85/402,289.50
  6. Step 6: Final answer
    x = 154,156.11

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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.