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Finding the Fourth Proportional to 280,011.20, 420,016.80 and 251,142.80

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Solution

The fourth proportional to 280,011.20, 420,016.80 and 251,142.80 is: 376,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,011.20 : 420,016.80 = 251,142.80 : x
  2. Step 2: Convert to fraction form
    280,011.20/420,016.80 = 251,142.80/x
  3. Step 3: Cross multiply
    280,011.20x = 420,016.80 × 251,142.80
  4. Step 4: Simplify right side
    280,011.20x = 105,484,195,199.04
  5. Step 5: Solve for x
    x = 105,484,195,199.04/280,011.20
  6. Step 6: Final answer
    x = 376,714.20

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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.