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Finding the Fourth Proportional to 467,433.40, 701,150.10 and 280,809.40

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Solution

The fourth proportional to 467,433.40, 701,150.10 and 280,809.40 is: 421,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,433.40 : 701,150.10 = 280,809.40 : x
  2. Step 2: Convert to fraction form
    467,433.40/701,150.10 = 280,809.40/x
  3. Step 3: Cross multiply
    467,433.40x = 701,150.10 × 280,809.40
  4. Step 4: Simplify right side
    467,433.40x = 196,889,538,890.94
  5. Step 5: Solve for x
    x = 196,889,538,890.94/467,433.40
  6. Step 6: Final answer
    x = 421,214.10

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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.