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Finding the Fourth Proportional to 650,869.57, 976,703.41 and 291,344.41

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Solution

The fourth proportional to 650,869.57, 976,703.41 and 291,344.41 is: 437,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,869.57 : 976,703.41 = 291,344.41 : x
  2. Step 2: Convert to fraction form
    650,869.57/976,703.41 = 291,344.41/x
  3. Step 3: Cross multiply
    650,869.57x = 976,703.41 × 291,344.41
  4. Step 4: Simplify right side
    650,869.57x = 284,557,081,625.45
  5. Step 5: Solve for x
    x = 284,557,081,625.45/650,869.57
  6. Step 6: Final answer
    x = 437,195.25

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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.