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Finding the Fourth Proportional to 458,677.98, 632,918.30 and 254,701.17

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Solution

The fourth proportional to 458,677.98, 632,918.30 and 254,701.17 is: 351,455.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,677.98 : 632,918.30 = 254,701.17 : x
  2. Step 2: Convert to fraction form
    458,677.98/632,918.30 = 254,701.17/x
  3. Step 3: Cross multiply
    458,677.98x = 632,918.30 × 254,701.17
  4. Step 4: Simplify right side
    458,677.98x = 161,205,031,524.41
  5. Step 5: Solve for x
    x = 161,205,031,524.41/458,677.98
  6. Step 6: Final answer
    x = 351,455.79

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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.