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Finding the Fourth Proportional to 471,365.40, 650,497.82 and 256,519.08

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Solution

The fourth proportional to 471,365.40, 650,497.82 and 256,519.08 is: 354,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,365.40 : 650,497.82 = 256,519.08 : x
  2. Step 2: Convert to fraction form
    471,365.40/650,497.82 = 256,519.08/x
  3. Step 3: Cross multiply
    471,365.40x = 650,497.82 × 256,519.08
  4. Step 4: Simplify right side
    471,365.40x = 166,865,097,793.32
  5. Step 5: Solve for x
    x = 166,865,097,793.32/471,365.40
  6. Step 6: Final answer
    x = 354,003.71

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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.