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Finding the Fourth Proportional to 459,682.20, 688,211.10 and 407,194.20

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Solution

The fourth proportional to 459,682.20, 688,211.10 and 407,194.20 is: 609,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,682.20 : 688,211.10 = 407,194.20 : x
  2. Step 2: Convert to fraction form
    459,682.20/688,211.10 = 407,194.20/x
  3. Step 3: Cross multiply
    459,682.20x = 688,211.10 × 407,194.20
  4. Step 4: Simplify right side
    459,682.20x = 280,235,568,295.62
  5. Step 5: Solve for x
    x = 280,235,568,295.62/459,682.20
  6. Step 6: Final answer
    x = 609,628.93

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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.