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Finding the Fourth Proportional to 650,511.45, 975,767.18 and 414,023.85

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Solution

The fourth proportional to 650,511.45, 975,767.18 and 414,023.85 is: 621,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,511.45 : 975,767.18 = 414,023.85 : x
  2. Step 2: Convert to fraction form
    650,511.45/975,767.18 = 414,023.85/x
  3. Step 3: Cross multiply
    650,511.45x = 975,767.18 × 414,023.85
  4. Step 4: Simplify right side
    650,511.45x = 403,990,882,497.12
  5. Step 5: Solve for x
    x = 403,990,882,497.12/650,511.45
  6. Step 6: Final answer
    x = 621,035.78

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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.