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Finding the Fourth Proportional to 931,992, 1,396,207.01 and 781,154.61

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Solution

The fourth proportional to 931,992, 1,396,207.01 and 781,154.61 is: 1,170,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,992 : 1,396,207.01 = 781,154.61 : x
  2. Step 2: Convert to fraction form
    931,992/1,396,207.01 = 781,154.61/x
  3. Step 3: Cross multiply
    931,992x = 1,396,207.01 × 781,154.61
  4. Step 4: Simplify right side
    931,992x = 1,090,653,538,470.04
  5. Step 5: Solve for x
    x = 1,090,653,538,470.04/931,992
  6. Step 6: Final answer
    x = 1,170,239.16

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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.