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Finding the Fourth Proportional to 321,713.28, 482,256.14 and 153,188.33

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Solution

The fourth proportional to 321,713.28, 482,256.14 and 153,188.33 is: 229,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,713.28 : 482,256.14 = 153,188.33 : x
  2. Step 2: Convert to fraction form
    321,713.28/482,256.14 = 153,188.33/x
  3. Step 3: Cross multiply
    321,713.28x = 482,256.14 × 153,188.33
  4. Step 4: Simplify right side
    321,713.28x = 73,876,009,541.62
  5. Step 5: Solve for x
    x = 73,876,009,541.62/321,713.28
  6. Step 6: Final answer
    x = 229,633.07

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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.