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Finding the Fourth Proportional to 285,142.77, 393,470.33 and 170,398.58

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Solution

The fourth proportional to 285,142.77, 393,470.33 and 170,398.58 is: 235,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,142.77 : 393,470.33 = 170,398.58 : x
  2. Step 2: Convert to fraction form
    285,142.77/393,470.33 = 170,398.58/x
  3. Step 3: Cross multiply
    285,142.77x = 393,470.33 × 170,398.58
  4. Step 4: Simplify right side
    285,142.77x = 67,046,782,684.79
  5. Step 5: Solve for x
    x = 67,046,782,684.79/285,142.77
  6. Step 6: Final answer
    x = 235,134.08

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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.