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Finding the Fourth Proportional to 285,813.60, 394,438.51 and 158,486.46

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Solution

The fourth proportional to 285,813.60, 394,438.51 and 158,486.46 is: 218,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,813.60 : 394,438.51 = 158,486.46 : x
  2. Step 2: Convert to fraction form
    285,813.60/394,438.51 = 158,486.46/x
  3. Step 3: Cross multiply
    285,813.60x = 394,438.51 × 158,486.46
  4. Step 4: Simplify right side
    285,813.60x = 62,513,161,165.38
  5. Step 5: Solve for x
    x = 62,513,161,165.38/285,813.60
  6. Step 6: Final answer
    x = 218,720.04

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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.