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Finding the Fourth Proportional to 511,970.44, 767,926.94 and 156,983.48

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Solution

The fourth proportional to 511,970.44, 767,926.94 and 156,983.48 is: 235,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,970.44 : 767,926.94 = 156,983.48 : x
  2. Step 2: Convert to fraction form
    511,970.44/767,926.94 = 156,983.48/x
  3. Step 3: Cross multiply
    511,970.44x = 767,926.94 × 156,983.48
  4. Step 4: Simplify right side
    511,970.44x = 120,551,843,426.95
  5. Step 5: Solve for x
    x = 120,551,843,426.95/511,970.44
  6. Step 6: Final answer
    x = 235,466.41

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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.