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Finding the Fourth Proportional to 511,139.16, 766,708.74 and 323,757

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Solution

The fourth proportional to 511,139.16, 766,708.74 and 323,757 is: 485,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,139.16 : 766,708.74 = 323,757 : x
  2. Step 2: Convert to fraction form
    511,139.16/766,708.74 = 323,757/x
  3. Step 3: Cross multiply
    511,139.16x = 766,708.74 × 323,757
  4. Step 4: Simplify right side
    511,139.16x = 248,227,321,536.18
  5. Step 5: Solve for x
    x = 248,227,321,536.18/511,139.16
  6. Step 6: Final answer
    x = 485,635.50

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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.