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Finding the Fourth Proportional to 465,983.31, 697,853.94 and 265,696.48

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Solution

The fourth proportional to 465,983.31, 697,853.94 and 265,696.48 is: 397,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,983.31 : 697,853.94 = 265,696.48 : x
  2. Step 2: Convert to fraction form
    465,983.31/697,853.94 = 265,696.48/x
  3. Step 3: Cross multiply
    465,983.31x = 697,853.94 × 265,696.48
  4. Step 4: Simplify right side
    465,983.31x = 185,417,335,412.13
  5. Step 5: Solve for x
    x = 185,417,335,412.13/465,983.31
  6. Step 6: Final answer
    x = 397,905.53

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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.