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Finding the Fourth Proportional to 394,875, 544,927.50 and 213,586.92

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Solution

The fourth proportional to 394,875, 544,927.50 and 213,586.92 is: 294,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,875 : 544,927.50 = 213,586.92 : x
  2. Step 2: Convert to fraction form
    394,875/544,927.50 = 213,586.92/x
  3. Step 3: Cross multiply
    394,875x = 544,927.50 × 213,586.92
  4. Step 4: Simplify right side
    394,875x = 116,389,386,348.30
  5. Step 5: Solve for x
    x = 116,389,386,348.30/394,875
  6. Step 6: Final answer
    x = 294,749.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.