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Finding the Fourth Proportional to 296,603.22, 444,980.76 and 86,241.22

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Solution

The fourth proportional to 296,603.22, 444,980.76 and 86,241.22 is: 129,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,603.22 : 444,980.76 = 86,241.22 : x
  2. Step 2: Convert to fraction form
    296,603.22/444,980.76 = 86,241.22/x
  3. Step 3: Cross multiply
    296,603.22x = 444,980.76 × 86,241.22
  4. Step 4: Simplify right side
    296,603.22x = 38,375,683,618.93
  5. Step 5: Solve for x
    x = 38,375,683,618.93/296,603.22
  6. Step 6: Final answer
    x = 129,383.91

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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.