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Finding the Fourth Proportional to 511,494.15, 767,241.10 and 174,534.77

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Solution

The fourth proportional to 511,494.15, 767,241.10 and 174,534.77 is: 261,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,494.15 : 767,241.10 = 174,534.77 : x
  2. Step 2: Convert to fraction form
    511,494.15/767,241.10 = 174,534.77/x
  3. Step 3: Cross multiply
    511,494.15x = 767,241.10 × 174,534.77
  4. Step 4: Simplify right side
    511,494.15x = 133,910,251,059.32
  5. Step 5: Solve for x
    x = 133,910,251,059.32/511,494.15
  6. Step 6: Final answer
    x = 261,802.11

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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.