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Finding the Fourth Proportional to 458,109.66, 632,797.23 and 381,877.98

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Solution

The fourth proportional to 458,109.66, 632,797.23 and 381,877.98 is: 527,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,109.66 : 632,797.23 = 381,877.98 : x
  2. Step 2: Convert to fraction form
    458,109.66/632,797.23 = 381,877.98/x
  3. Step 3: Cross multiply
    458,109.66x = 632,797.23 × 381,877.98
  4. Step 4: Simplify right side
    458,109.66x = 241,651,327,942.00
  5. Step 5: Solve for x
    x = 241,651,327,942.00/458,109.66
  6. Step 6: Final answer
    x = 527,496.69

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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.