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Finding the Fourth Proportional to 432,078.48, 648,182.52 and 151,546.32

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Solution

The fourth proportional to 432,078.48, 648,182.52 and 151,546.32 is: 227,342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,078.48 : 648,182.52 = 151,546.32 : x
  2. Step 2: Convert to fraction form
    432,078.48/648,182.52 = 151,546.32/x
  3. Step 3: Cross multiply
    432,078.48x = 648,182.52 × 151,546.32
  4. Step 4: Simplify right side
    432,078.48x = 98,229,675,594.33
  5. Step 5: Solve for x
    x = 98,229,675,594.33/432,078.48
  6. Step 6: Final answer
    x = 227,342.21

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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.