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Finding the Fourth Proportional to 646,997.94, 970,032.75 and 247,301.82

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Solution

The fourth proportional to 646,997.94, 970,032.75 and 247,301.82 is: 370,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,997.94 : 970,032.75 = 247,301.82 : x
  2. Step 2: Convert to fraction form
    646,997.94/970,032.75 = 247,301.82/x
  3. Step 3: Cross multiply
    646,997.94x = 970,032.75 × 247,301.82
  4. Step 4: Simplify right side
    646,997.94x = 239,890,864,534.61
  5. Step 5: Solve for x
    x = 239,890,864,534.61/646,997.94
  6. Step 6: Final answer
    x = 370,775.31

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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.