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Finding the Fourth Proportional to 826,462.26, 1,140,456 and 458,960.13

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Solution

The fourth proportional to 826,462.26, 1,140,456 and 458,960.13 is: 633,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,462.26 : 1,140,456 = 458,960.13 : x
  2. Step 2: Convert to fraction form
    826,462.26/1,140,456 = 458,960.13/x
  3. Step 3: Cross multiply
    826,462.26x = 1,140,456 × 458,960.13
  4. Step 4: Simplify right side
    826,462.26x = 523,423,834,019.28
  5. Step 5: Solve for x
    x = 523,423,834,019.28/826,462.26
  6. Step 6: Final answer
    x = 633,330.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.