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Finding the Fourth Proportional to 314,426.90, 471,574.22 and 101,213.88

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Solution

The fourth proportional to 314,426.90, 471,574.22 and 101,213.88 is: 151,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,426.90 : 471,574.22 = 101,213.88 : x
  2. Step 2: Convert to fraction form
    314,426.90/471,574.22 = 101,213.88/x
  3. Step 3: Cross multiply
    314,426.90x = 471,574.22 × 101,213.88
  4. Step 4: Simplify right side
    314,426.90x = 47,729,856,514.17
  5. Step 5: Solve for x
    x = 47,729,856,514.17/314,426.90
  6. Step 6: Final answer
    x = 151,799.54

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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.