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Finding the Fourth Proportional to 471,103.38, 706,283.28 and 234,316.89

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Solution

The fourth proportional to 471,103.38, 706,283.28 and 234,316.89 is: 351,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,103.38 : 706,283.28 = 234,316.89 : x
  2. Step 2: Convert to fraction form
    471,103.38/706,283.28 = 234,316.89/x
  3. Step 3: Cross multiply
    471,103.38x = 706,283.28 × 234,316.89
  4. Step 4: Simplify right side
    471,103.38x = 165,494,101,628.60
  5. Step 5: Solve for x
    x = 165,494,101,628.60/471,103.38
  6. Step 6: Final answer
    x = 351,290.41

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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.