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Finding the Fourth Proportional to 374,652.52, 517,024.56 and 204,883

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Solution

The fourth proportional to 374,652.52, 517,024.56 and 204,883 is: 282,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,652.52 : 517,024.56 = 204,883 : x
  2. Step 2: Convert to fraction form
    374,652.52/517,024.56 = 204,883/x
  3. Step 3: Cross multiply
    374,652.52x = 517,024.56 × 204,883
  4. Step 4: Simplify right side
    374,652.52x = 105,929,542,926.48
  5. Step 5: Solve for x
    x = 105,929,542,926.48/374,652.52
  6. Step 6: Final answer
    x = 282,740.77

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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.