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Finding the Fourth Proportional to 285,391.08, 393,825.24 and 156,327.84

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Solution

The fourth proportional to 285,391.08, 393,825.24 and 156,327.84 is: 215,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,391.08 : 393,825.24 = 156,327.84 : x
  2. Step 2: Convert to fraction form
    285,391.08/393,825.24 = 156,327.84/x
  3. Step 3: Cross multiply
    285,391.08x = 393,825.24 × 156,327.84
  4. Step 4: Simplify right side
    285,391.08x = 61,565,849,106.68
  5. Step 5: Solve for x
    x = 61,565,849,106.68/285,391.08
  6. Step 6: Final answer
    x = 215,724.50

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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.