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Finding the Fourth Proportional to 511,035.84, 766,553.76 and 156,030.84

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Solution

The fourth proportional to 511,035.84, 766,553.76 and 156,030.84 is: 234,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,035.84 : 766,553.76 = 156,030.84 : x
  2. Step 2: Convert to fraction form
    511,035.84/766,553.76 = 156,030.84/x
  3. Step 3: Cross multiply
    511,035.84x = 766,553.76 × 156,030.84
  4. Step 4: Simplify right side
    511,035.84x = 119,606,027,077.96
  5. Step 5: Solve for x
    x = 119,606,027,077.96/511,035.84
  6. Step 6: Final answer
    x = 234,046.26

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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.