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Finding the Fourth Proportional to 517,963.50, 777,297.60 and 185,539.50

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Solution

The fourth proportional to 517,963.50, 777,297.60 and 185,539.50 is: 278,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,963.50 : 777,297.60 = 185,539.50 : x
  2. Step 2: Convert to fraction form
    517,963.50/777,297.60 = 185,539.50/x
  3. Step 3: Cross multiply
    517,963.50x = 777,297.60 × 185,539.50
  4. Step 4: Simplify right side
    517,963.50x = 144,219,408,055.20
  5. Step 5: Solve for x
    x = 144,219,408,055.20/517,963.50
  6. Step 6: Final answer
    x = 278,435.47

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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.