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Finding the Fourth Proportional to 432,002.70, 648,198.45 and 151,721.10

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Solution

The fourth proportional to 432,002.70, 648,198.45 and 151,721.10 is: 227,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,002.70 : 648,198.45 = 151,721.10 : x
  2. Step 2: Convert to fraction form
    432,002.70/648,198.45 = 151,721.10/x
  3. Step 3: Cross multiply
    432,002.70x = 648,198.45 × 151,721.10
  4. Step 4: Simplify right side
    432,002.70x = 98,345,381,852.30
  5. Step 5: Solve for x
    x = 98,345,381,852.30/432,002.70
  6. Step 6: Final answer
    x = 227,649.92

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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.