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Finding the Fourth Proportional to 280,828.20, 421,242.30 and 280,828.20

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Solution

The fourth proportional to 280,828.20, 421,242.30 and 280,828.20 is: 421,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,828.20 : 421,242.30 = 280,828.20 : x
  2. Step 2: Convert to fraction form
    280,828.20/421,242.30 = 280,828.20/x
  3. Step 3: Cross multiply
    280,828.20x = 421,242.30 × 280,828.20
  4. Step 4: Simplify right side
    280,828.20x = 118,296,716,872.86
  5. Step 5: Solve for x
    x = 118,296,716,872.86/280,828.20
  6. Step 6: Final answer
    x = 421,242.30

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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.