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Finding the Fourth Proportional to 394,390.95, 544,522.26 and 233,297.74

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Solution

The fourth proportional to 394,390.95, 544,522.26 and 233,297.74 is: 322,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,390.95 : 544,522.26 = 233,297.74 : x
  2. Step 2: Convert to fraction form
    394,390.95/544,522.26 = 233,297.74/x
  3. Step 3: Cross multiply
    394,390.95x = 544,522.26 × 233,297.74
  4. Step 4: Simplify right side
    394,390.95x = 127,035,812,637.69
  5. Step 5: Solve for x
    x = 127,035,812,637.69/394,390.95
  6. Step 6: Final answer
    x = 322,106.31

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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.