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Finding the Fourth Proportional to 470,209.20, 705,313.80 and 399,350.40

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Solution

The fourth proportional to 470,209.20, 705,313.80 and 399,350.40 is: 599,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,209.20 : 705,313.80 = 399,350.40 : x
  2. Step 2: Convert to fraction form
    470,209.20/705,313.80 = 399,350.40/x
  3. Step 3: Cross multiply
    470,209.20x = 705,313.80 × 399,350.40
  4. Step 4: Simplify right side
    470,209.20x = 281,667,348,155.52
  5. Step 5: Solve for x
    x = 281,667,348,155.52/470,209.20
  6. Step 6: Final answer
    x = 599,025.60

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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.