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Finding the Fourth Proportional to 224,023.80, 336,035.70 and 209,152.20

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Solution

The fourth proportional to 224,023.80, 336,035.70 and 209,152.20 is: 313,728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,023.80 : 336,035.70 = 209,152.20 : x
  2. Step 2: Convert to fraction form
    224,023.80/336,035.70 = 209,152.20/x
  3. Step 3: Cross multiply
    224,023.80x = 336,035.70 × 209,152.20
  4. Step 4: Simplify right side
    224,023.80x = 70,282,605,933.54
  5. Step 5: Solve for x
    x = 70,282,605,933.54/224,023.80
  6. Step 6: Final answer
    x = 313,728.30

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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.