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Finding the Fourth Proportional to 315,253.48, 471,770.70 and 196,980.52

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Solution

The fourth proportional to 315,253.48, 471,770.70 and 196,980.52 is: 294,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,253.48 : 471,770.70 = 196,980.52 : x
  2. Step 2: Convert to fraction form
    315,253.48/471,770.70 = 196,980.52/x
  3. Step 3: Cross multiply
    315,253.48x = 471,770.70 × 196,980.52
  4. Step 4: Simplify right side
    315,253.48x = 92,929,637,806.76
  5. Step 5: Solve for x
    x = 92,929,637,806.76/315,253.48
  6. Step 6: Final answer
    x = 294,777.52

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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.