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Finding the Fourth Proportional to 226,592, 312,482.40 and 165,282.56

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Solution

The fourth proportional to 226,592, 312,482.40 and 165,282.56 is: 227,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,592 : 312,482.40 = 165,282.56 : x
  2. Step 2: Convert to fraction form
    226,592/312,482.40 = 165,282.56/x
  3. Step 3: Cross multiply
    226,592x = 312,482.40 × 165,282.56
  4. Step 4: Simplify right side
    226,592x = 51,647,891,026.94
  5. Step 5: Solve for x
    x = 51,647,891,026.94/226,592
  6. Step 6: Final answer
    x = 227,933.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.