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Finding the Fourth Proportional to 935,685, 1,403,761.32 and 270,837

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Solution

The fourth proportional to 935,685, 1,403,761.32 and 270,837 is: 406,323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,685 : 1,403,761.32 = 270,837 : x
  2. Step 2: Convert to fraction form
    935,685/1,403,761.32 = 270,837/x
  3. Step 3: Cross multiply
    935,685x = 1,403,761.32 × 270,837
  4. Step 4: Simplify right side
    935,685x = 380,190,504,624.84
  5. Step 5: Solve for x
    x = 380,190,504,624.84/935,685
  6. Step 6: Final answer
    x = 406,323.18

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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.