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Finding the Fourth Proportional to 374,813.60, 517,254.95 and 205,047.73

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Solution

The fourth proportional to 374,813.60, 517,254.95 and 205,047.73 is: 282,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,813.60 : 517,254.95 = 205,047.73 : x
  2. Step 2: Convert to fraction form
    374,813.60/517,254.95 = 205,047.73/x
  3. Step 3: Cross multiply
    374,813.60x = 517,254.95 × 205,047.73
  4. Step 4: Simplify right side
    374,813.60x = 106,061,952,548.25
  5. Step 5: Solve for x
    x = 106,061,952,548.25/374,813.60
  6. Step 6: Final answer
    x = 282,972.53

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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.