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Finding the Fourth Proportional to 340,863.80, 511,355.10 and 141,074.60

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Solution

The fourth proportional to 340,863.80, 511,355.10 and 141,074.60 is: 211,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,863.80 : 511,355.10 = 141,074.60 : x
  2. Step 2: Convert to fraction form
    340,863.80/511,355.10 = 141,074.60/x
  3. Step 3: Cross multiply
    340,863.80x = 511,355.10 × 141,074.60
  4. Step 4: Simplify right side
    340,863.80x = 72,139,216,190.46
  5. Step 5: Solve for x
    x = 72,139,216,190.46/340,863.80
  6. Step 6: Final answer
    x = 211,636.48

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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.