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Finding the Fourth Proportional to 314,321.70, 471,482.55 and 226,404.30

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Solution

The fourth proportional to 314,321.70, 471,482.55 and 226,404.30 is: 339,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,321.70 : 471,482.55 = 226,404.30 : x
  2. Step 2: Convert to fraction form
    314,321.70/471,482.55 = 226,404.30/x
  3. Step 3: Cross multiply
    314,321.70x = 471,482.55 × 226,404.30
  4. Step 4: Simplify right side
    314,321.70x = 106,745,676,694.97
  5. Step 5: Solve for x
    x = 106,745,676,694.97/314,321.70
  6. Step 6: Final answer
    x = 339,606.45

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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.