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Finding the Fourth Proportional to 458,108.16, 632,795.16 and 381,876.48

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Solution

The fourth proportional to 458,108.16, 632,795.16 and 381,876.48 is: 527,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,108.16 : 632,795.16 = 381,876.48 : x
  2. Step 2: Convert to fraction form
    458,108.16/632,795.16 = 381,876.48/x
  3. Step 3: Cross multiply
    458,108.16x = 632,795.16 × 381,876.48
  4. Step 4: Simplify right side
    458,108.16x = 241,649,588,261.84
  5. Step 5: Solve for x
    x = 241,649,588,261.84/458,108.16
  6. Step 6: Final answer
    x = 527,494.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.