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Finding the Fourth Proportional to 280,622.40, 420,933.60 and 242,568.60

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Solution

The fourth proportional to 280,622.40, 420,933.60 and 242,568.60 is: 363,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,622.40 : 420,933.60 = 242,568.60 : x
  2. Step 2: Convert to fraction form
    280,622.40/420,933.60 = 242,568.60/x
  3. Step 3: Cross multiply
    280,622.40x = 420,933.60 × 242,568.60
  4. Step 4: Simplify right side
    280,622.40x = 102,105,274,044.96
  5. Step 5: Solve for x
    x = 102,105,274,044.96/280,622.40
  6. Step 6: Final answer
    x = 363,852.90

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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.