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Finding the Fourth Proportional to 402,705.62, 603,251.97 and 242,692.46

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Solution

The fourth proportional to 402,705.62, 603,251.97 and 242,692.46 is: 363,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,705.62 : 603,251.97 = 242,692.46 : x
  2. Step 2: Convert to fraction form
    402,705.62/603,251.97 = 242,692.46/x
  3. Step 3: Cross multiply
    402,705.62x = 603,251.97 × 242,692.46
  4. Step 4: Simplify right side
    402,705.62x = 146,404,704,599.15
  5. Step 5: Solve for x
    x = 146,404,704,599.15/402,705.62
  6. Step 6: Final answer
    x = 363,552.67

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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.