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Finding the Fourth Proportional to 511,017.48, 766,675.80 and 151,197.84

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Solution

The fourth proportional to 511,017.48, 766,675.80 and 151,197.84 is: 226,841.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,017.48 : 766,675.80 = 151,197.84 : x
  2. Step 2: Convert to fraction form
    511,017.48/766,675.80 = 151,197.84/x
  3. Step 3: Cross multiply
    511,017.48x = 766,675.80 × 151,197.84
  4. Step 4: Simplify right side
    511,017.48x = 115,919,724,940.27
  5. Step 5: Solve for x
    x = 115,919,724,940.27/511,017.48
  6. Step 6: Final answer
    x = 226,841.02

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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.