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Finding the Fourth Proportional to 321,698.32, 482,233.63 and 153,173.36

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Solution

The fourth proportional to 321,698.32, 482,233.63 and 153,173.36 is: 229,610.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,698.32 : 482,233.63 = 153,173.36 : x
  2. Step 2: Convert to fraction form
    321,698.32/482,233.63 = 153,173.36/x
  3. Step 3: Cross multiply
    321,698.32x = 482,233.63 × 153,173.36
  4. Step 4: Simplify right side
    321,698.32x = 73,865,346,234.75
  5. Step 5: Solve for x
    x = 73,865,346,234.75/321,698.32
  6. Step 6: Final answer
    x = 229,610.61

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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.