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Finding the Fourth Proportional to 511,437.52, 767,298.03 and 223,273.90

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Solution

The fourth proportional to 511,437.52, 767,298.03 and 223,273.90 is: 334,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,437.52 : 767,298.03 = 223,273.90 : x
  2. Step 2: Convert to fraction form
    511,437.52/767,298.03 = 223,273.90/x
  3. Step 3: Cross multiply
    511,437.52x = 767,298.03 × 223,273.90
  4. Step 4: Simplify right side
    511,437.52x = 171,317,623,620.42
  5. Step 5: Solve for x
    x = 171,317,623,620.42/511,437.52
  6. Step 6: Final answer
    x = 334,972.73

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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.