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Finding the Fourth Proportional to 884,830, 1,327,249.86 and 219,982

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Solution

The fourth proportional to 884,830, 1,327,249.86 and 219,982 is: 329,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,830 : 1,327,249.86 = 219,982 : x
  2. Step 2: Convert to fraction form
    884,830/1,327,249.86 = 219,982/x
  3. Step 3: Cross multiply
    884,830x = 1,327,249.86 × 219,982
  4. Step 4: Simplify right side
    884,830x = 291,971,078,702.52
  5. Step 5: Solve for x
    x = 291,971,078,702.52/884,830
  6. Step 6: Final answer
    x = 329,974.21

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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.