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Finding the Fourth Proportional to 288,232.54, 397,926.92 and 191,567.47

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Solution

The fourth proportional to 288,232.54, 397,926.92 and 191,567.47 is: 264,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,232.54 : 397,926.92 = 191,567.47 : x
  2. Step 2: Convert to fraction form
    288,232.54/397,926.92 = 191,567.47/x
  3. Step 3: Cross multiply
    288,232.54x = 397,926.92 × 191,567.47
  4. Step 4: Simplify right side
    288,232.54x = 76,229,853,309.29
  5. Step 5: Solve for x
    x = 76,229,853,309.29/288,232.54
  6. Step 6: Final answer
    x = 264,473.45

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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.