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Finding the Fourth Proportional to 340,649.90, 511,034.88 and 140,858.34

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Solution

The fourth proportional to 340,649.90, 511,034.88 and 140,858.34 is: 211,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,649.90 : 511,034.88 = 140,858.34 : x
  2. Step 2: Convert to fraction form
    340,649.90/511,034.88 = 140,858.34/x
  3. Step 3: Cross multiply
    340,649.90x = 511,034.88 × 140,858.34
  4. Step 4: Simplify right side
    340,649.90x = 71,983,524,878.90
  5. Step 5: Solve for x
    x = 71,983,524,878.90/340,649.90
  6. Step 6: Final answer
    x = 211,312.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.