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Finding the Fourth Proportional to 1,270,261.22, 1,905,766.13 and 511,712.34

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Solution

The fourth proportional to 1,270,261.22, 1,905,766.13 and 511,712.34 is: 767,719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,261.22 : 1,905,766.13 = 511,712.34 : x
  2. Step 2: Convert to fraction form
    1,270,261.22/1,905,766.13 = 511,712.34/x
  3. Step 3: Cross multiply
    1,270,261.22x = 1,905,766.13 × 511,712.34
  4. Step 4: Simplify right side
    1,270,261.22x = 975,204,043,316.48
  5. Step 5: Solve for x
    x = 975,204,043,316.48/1,270,261.22
  6. Step 6: Final answer
    x = 767,719.29

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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.