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Finding the Fourth Proportional to 509,978.24, 765,133.76 and 243,759.50

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Solution

The fourth proportional to 509,978.24, 765,133.76 and 243,759.50 is: 365,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,978.24 : 765,133.76 = 243,759.50 : x
  2. Step 2: Convert to fraction form
    509,978.24/765,133.76 = 243,759.50/x
  3. Step 3: Cross multiply
    509,978.24x = 765,133.76 × 243,759.50
  4. Step 4: Simplify right side
    509,978.24x = 186,508,622,770.72
  5. Step 5: Solve for x
    x = 186,508,622,770.72/509,978.24
  6. Step 6: Final answer
    x = 365,718.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.