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Finding the Fourth Proportional to 414,491.40, 621,737.10 and 288,520.20

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Solution

The fourth proportional to 414,491.40, 621,737.10 and 288,520.20 is: 432,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,491.40 : 621,737.10 = 288,520.20 : x
  2. Step 2: Convert to fraction form
    414,491.40/621,737.10 = 288,520.20/x
  3. Step 3: Cross multiply
    414,491.40x = 621,737.10 × 288,520.20
  4. Step 4: Simplify right side
    414,491.40x = 179,383,712,439.42
  5. Step 5: Solve for x
    x = 179,383,712,439.42/414,491.40
  6. Step 6: Final answer
    x = 432,780.30

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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.