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Finding the Fourth Proportional to 297,277.12, 410,583.14 and 195,756.44

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Solution

The fourth proportional to 297,277.12, 410,583.14 and 195,756.44 is: 270,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,277.12 : 410,583.14 = 195,756.44 : x
  2. Step 2: Convert to fraction form
    297,277.12/410,583.14 = 195,756.44/x
  3. Step 3: Cross multiply
    297,277.12x = 410,583.14 × 195,756.44
  4. Step 4: Simplify right side
    297,277.12x = 80,374,293,810.42
  5. Step 5: Solve for x
    x = 80,374,293,810.42/297,277.12
  6. Step 6: Final answer
    x = 270,368.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.