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Finding the Fourth Proportional to 511,101.84, 766,689.84 and 207,350.16

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Solution

The fourth proportional to 511,101.84, 766,689.84 and 207,350.16 is: 311,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,101.84 : 766,689.84 = 207,350.16 : x
  2. Step 2: Convert to fraction form
    511,101.84/766,689.84 = 207,350.16/x
  3. Step 3: Cross multiply
    511,101.84x = 766,689.84 × 207,350.16
  4. Step 4: Simplify right side
    511,101.84x = 158,973,260,994.37
  5. Step 5: Solve for x
    x = 158,973,260,994.37/511,101.84
  6. Step 6: Final answer
    x = 311,040.28

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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.