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Finding the Fourth Proportional to 512,393.69, 769,059.30 and 259,848.50

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Solution

The fourth proportional to 512,393.69, 769,059.30 and 259,848.50 is: 390,010.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,393.69 : 769,059.30 = 259,848.50 : x
  2. Step 2: Convert to fraction form
    512,393.69/769,059.30 = 259,848.50/x
  3. Step 3: Cross multiply
    512,393.69x = 769,059.30 × 259,848.50
  4. Step 4: Simplify right side
    512,393.69x = 199,838,905,516.05
  5. Step 5: Solve for x
    x = 199,838,905,516.05/512,393.69
  6. Step 6: Final answer
    x = 390,010.47

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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.