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Finding the Fourth Proportional to 470,249.68, 705,280.20 and 230,260.20

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Solution

The fourth proportional to 470,249.68, 705,280.20 and 230,260.20 is: 345,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,249.68 : 705,280.20 = 230,260.20 : x
  2. Step 2: Convert to fraction form
    470,249.68/705,280.20 = 230,260.20/x
  3. Step 3: Cross multiply
    470,249.68x = 705,280.20 × 230,260.20
  4. Step 4: Simplify right side
    470,249.68x = 162,397,959,908.04
  5. Step 5: Solve for x
    x = 162,397,959,908.04/470,249.68
  6. Step 6: Final answer
    x = 345,344.12

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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.