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Finding the Fourth Proportional to 223,895.20, 313,868 and 223,895.20

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Solution

The fourth proportional to 223,895.20, 313,868 and 223,895.20 is: 313,868

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,895.20 : 313,868 = 223,895.20 : x
  2. Step 2: Convert to fraction form
    223,895.20/313,868 = 223,895.20/x
  3. Step 3: Cross multiply
    223,895.20x = 313,868 × 223,895.20
  4. Step 4: Simplify right side
    223,895.20x = 70,273,538,633.60
  5. Step 5: Solve for x
    x = 70,273,538,633.60/223,895.20
  6. Step 6: Final answer
    x = 313,868

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.