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Finding the Fourth Proportional to 295,494.50, 443,241.76 and 73,878.50

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Solution

The fourth proportional to 295,494.50, 443,241.76 and 73,878.50 is: 110,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,494.50 : 443,241.76 = 73,878.50 : x
  2. Step 2: Convert to fraction form
    295,494.50/443,241.76 = 73,878.50/x
  3. Step 3: Cross multiply
    295,494.50x = 443,241.76 × 73,878.50
  4. Step 4: Simplify right side
    295,494.50x = 32,746,036,366.16
  5. Step 5: Solve for x
    x = 32,746,036,366.16/295,494.50
  6. Step 6: Final answer
    x = 110,817.75

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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.