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Finding the Fourth Proportional to 462,806.40, 638,677.53 and 271,822.98

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Solution

The fourth proportional to 462,806.40, 638,677.53 and 271,822.98 is: 375,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,806.40 : 638,677.53 = 271,822.98 : x
  2. Step 2: Convert to fraction form
    462,806.40/638,677.53 = 271,822.98/x
  3. Step 3: Cross multiply
    462,806.40x = 638,677.53 × 271,822.98
  4. Step 4: Simplify right side
    462,806.40x = 173,607,229,463.64
  5. Step 5: Solve for x
    x = 173,607,229,463.64/462,806.40
  6. Step 6: Final answer
    x = 375,118.47

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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.