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Finding the Fourth Proportional to 511,984.45, 767,947.97 and 156,997.50

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Solution

The fourth proportional to 511,984.45, 767,947.97 and 156,997.50 is: 235,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,984.45 : 767,947.97 = 156,997.50 : x
  2. Step 2: Convert to fraction form
    511,984.45/767,947.97 = 156,997.50/x
  3. Step 3: Cross multiply
    511,984.45x = 767,947.97 × 156,997.50
  4. Step 4: Simplify right side
    511,984.45x = 120,565,911,420.08
  5. Step 5: Solve for x
    x = 120,565,911,420.08/511,984.45
  6. Step 6: Final answer
    x = 235,487.45

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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.