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Finding the Fourth Proportional to 414,132.70, 621,199.05 and 407,134.30

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Solution

The fourth proportional to 414,132.70, 621,199.05 and 407,134.30 is: 610,701.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,132.70 : 621,199.05 = 407,134.30 : x
  2. Step 2: Convert to fraction form
    414,132.70/621,199.05 = 407,134.30/x
  3. Step 3: Cross multiply
    414,132.70x = 621,199.05 × 407,134.30
  4. Step 4: Simplify right side
    414,132.70x = 252,911,440,382.42
  5. Step 5: Solve for x
    x = 252,911,440,382.42/414,132.70
  6. Step 6: Final answer
    x = 610,701.45

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Similar ratio
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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.