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Finding the Fourth Proportional to 410,199.22, 615,295.18 and 143,897.34

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Solution

The fourth proportional to 410,199.22, 615,295.18 and 143,897.34 is: 215,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,199.22 : 615,295.18 = 143,897.34 : x
  2. Step 2: Convert to fraction form
    410,199.22/615,295.18 = 143,897.34/x
  3. Step 3: Cross multiply
    410,199.22x = 615,295.18 × 143,897.34
  4. Step 4: Simplify right side
    410,199.22x = 88,539,339,716.82
  5. Step 5: Solve for x
    x = 88,539,339,716.82/410,199.22
  6. Step 6: Final answer
    x = 215,844.73

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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.