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Finding the Fourth Proportional to 280,892.20, 421,338.30 and 280,892.20

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Solution

The fourth proportional to 280,892.20, 421,338.30 and 280,892.20 is: 421,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,892.20 : 421,338.30 = 280,892.20 : x
  2. Step 2: Convert to fraction form
    280,892.20/421,338.30 = 280,892.20/x
  3. Step 3: Cross multiply
    280,892.20x = 421,338.30 × 280,892.20
  4. Step 4: Simplify right side
    280,892.20x = 118,350,642,031.26
  5. Step 5: Solve for x
    x = 118,350,642,031.26/280,892.20
  6. Step 6: Final answer
    x = 421,338.30

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1.5x scale

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.