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Finding the Fourth Proportional to 313,487.20, 470,230.80 and 225,569.80

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Solution

The fourth proportional to 313,487.20, 470,230.80 and 225,569.80 is: 338,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,487.20 : 470,230.80 = 225,569.80 : x
  2. Step 2: Convert to fraction form
    313,487.20/470,230.80 = 225,569.80/x
  3. Step 3: Cross multiply
    313,487.20x = 470,230.80 × 225,569.80
  4. Step 4: Simplify right side
    313,487.20x = 106,069,867,509.84
  5. Step 5: Solve for x
    x = 106,069,867,509.84/313,487.20
  6. Step 6: Final answer
    x = 338,354.70

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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.