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Finding the Fourth Proportional to 471,052.44, 650,221.47 and 280,065.38

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Solution

The fourth proportional to 471,052.44, 650,221.47 and 280,065.38 is: 386,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,052.44 : 650,221.47 = 280,065.38 : x
  2. Step 2: Convert to fraction form
    471,052.44/650,221.47 = 280,065.38/x
  3. Step 3: Cross multiply
    471,052.44x = 650,221.47 × 280,065.38
  4. Step 4: Simplify right side
    471,052.44x = 182,104,519,828.60
  5. Step 5: Solve for x
    x = 182,104,519,828.60/471,052.44
  6. Step 6: Final answer
    x = 386,590.76

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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.