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Finding the Fourth Proportional to 472,833.95, 709,198.36 and 169,215.86

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Solution

The fourth proportional to 472,833.95, 709,198.36 and 169,215.86 is: 253,804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,833.95 : 709,198.36 = 169,215.86 : x
  2. Step 2: Convert to fraction form
    472,833.95/709,198.36 = 169,215.86/x
  3. Step 3: Cross multiply
    472,833.95x = 709,198.36 × 169,215.86
  4. Step 4: Simplify right side
    472,833.95x = 120,007,611,747.95
  5. Step 5: Solve for x
    x = 120,007,611,747.95/472,833.95
  6. Step 6: Final answer
    x = 253,804.98

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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.