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Finding the Fourth Proportional to 950,233, 1,311,342.66 and 542,326.68

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Solution

The fourth proportional to 950,233, 1,311,342.66 and 542,326.68 is: 748,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,233 : 1,311,342.66 = 542,326.68 : x
  2. Step 2: Convert to fraction form
    950,233/1,311,342.66 = 542,326.68/x
  3. Step 3: Cross multiply
    950,233x = 1,311,342.66 × 542,326.68
  4. Step 4: Simplify right side
    950,233x = 711,176,111,140.17
  5. Step 5: Solve for x
    x = 711,176,111,140.17/950,233
  6. Step 6: Final answer
    x = 748,422.87

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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.