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Finding the Fourth Proportional to 318,254.78, 477,346.52 and 81,603.02

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Solution

The fourth proportional to 318,254.78, 477,346.52 and 81,603.02 is: 122,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,254.78 : 477,346.52 = 81,603.02 : x
  2. Step 2: Convert to fraction form
    318,254.78/477,346.52 = 81,603.02/x
  3. Step 3: Cross multiply
    318,254.78x = 477,346.52 × 81,603.02
  4. Step 4: Simplify right side
    318,254.78x = 38,952,917,618.49
  5. Step 5: Solve for x
    x = 38,952,917,618.49/318,254.78
  6. Step 6: Final answer
    x = 122,395.39

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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.