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Finding the Fourth Proportional to 462,334.96, 638,218.70 and 281,104.80

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Solution

The fourth proportional to 462,334.96, 638,218.70 and 281,104.80 is: 388,044.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,334.96 : 638,218.70 = 281,104.80 : x
  2. Step 2: Convert to fraction form
    462,334.96/638,218.70 = 281,104.80/x
  3. Step 3: Cross multiply
    462,334.96x = 638,218.70 × 281,104.80
  4. Step 4: Simplify right side
    462,334.96x = 179,406,340,019.76
  5. Step 5: Solve for x
    x = 179,406,340,019.76/462,334.96
  6. Step 6: Final answer
    x = 388,044.07

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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.