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Finding the Fourth Proportional to 374,812.85, 517,253.92 and 205,046.98

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Solution

The fourth proportional to 374,812.85, 517,253.92 and 205,046.98 is: 282,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,812.85 : 517,253.92 = 205,046.98 : x
  2. Step 2: Convert to fraction form
    374,812.85/517,253.92 = 205,046.98/x
  3. Step 3: Cross multiply
    374,812.85x = 517,253.92 × 205,046.98
  4. Step 4: Simplify right side
    374,812.85x = 106,061,352,383.41
  5. Step 5: Solve for x
    x = 106,061,352,383.41/374,812.85
  6. Step 6: Final answer
    x = 282,971.49

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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.