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Finding the Fourth Proportional to 315,254.48, 471,772.20 and 196,981.52

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Solution

The fourth proportional to 315,254.48, 471,772.20 and 196,981.52 is: 294,779.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,254.48 : 471,772.20 = 196,981.52 : x
  2. Step 2: Convert to fraction form
    315,254.48/471,772.20 = 196,981.52/x
  3. Step 3: Cross multiply
    315,254.48x = 471,772.20 × 196,981.52
  4. Step 4: Simplify right side
    315,254.48x = 92,930,405,049.74
  5. Step 5: Solve for x
    x = 92,930,405,049.74/315,254.48
  6. Step 6: Final answer
    x = 294,779.01

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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.