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Finding the Fourth Proportional to 511,629.30, 767,115.72 and 212,316.48

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Solution

The fourth proportional to 511,629.30, 767,115.72 and 212,316.48 is: 318,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,629.30 : 767,115.72 = 212,316.48 : x
  2. Step 2: Convert to fraction form
    511,629.30/767,115.72 = 212,316.48/x
  3. Step 3: Cross multiply
    511,629.30x = 767,115.72 × 212,316.48
  4. Step 4: Simplify right side
    511,629.30x = 162,871,309,423.07
  5. Step 5: Solve for x
    x = 162,871,309,423.07/511,629.30
  6. Step 6: Final answer
    x = 318,338.51

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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.