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Finding the Fourth Proportional to 659,378.25, 989,146.71 and 232,826.31

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Solution

The fourth proportional to 659,378.25, 989,146.71 and 232,826.31 is: 349,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,378.25 : 989,146.71 = 232,826.31 : x
  2. Step 2: Convert to fraction form
    659,378.25/989,146.71 = 232,826.31/x
  3. Step 3: Cross multiply
    659,378.25x = 989,146.71 × 232,826.31
  4. Step 4: Simplify right side
    659,378.25x = 230,299,378,537.94
  5. Step 5: Solve for x
    x = 230,299,378,537.94/659,378.25
  6. Step 6: Final answer
    x = 349,267.48

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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.