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Finding the Fourth Proportional to 314,372.90, 471,414.60 and 101,101.29

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Solution

The fourth proportional to 314,372.90, 471,414.60 and 101,101.29 is: 151,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,372.90 : 471,414.60 = 101,101.29 : x
  2. Step 2: Convert to fraction form
    314,372.90/471,414.60 = 101,101.29/x
  3. Step 3: Cross multiply
    314,372.90x = 471,414.60 × 101,101.29
  4. Step 4: Simplify right side
    314,372.90x = 47,660,624,184.83
  5. Step 5: Solve for x
    x = 47,660,624,184.83/314,372.90
  6. Step 6: Final answer
    x = 151,605.39

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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.