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Finding the Fourth Proportional to 453,802.91, 680,735.54 and 150,196.55

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Solution

The fourth proportional to 453,802.91, 680,735.54 and 150,196.55 is: 225,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,802.91 : 680,735.54 = 150,196.55 : x
  2. Step 2: Convert to fraction form
    453,802.91/680,735.54 = 150,196.55/x
  3. Step 3: Cross multiply
    453,802.91x = 680,735.54 × 150,196.55
  4. Step 4: Simplify right side
    453,802.91x = 102,244,126,542.20
  5. Step 5: Solve for x
    x = 102,244,126,542.20/453,802.91
  6. Step 6: Final answer
    x = 225,305.14

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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.