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Finding the Fourth Proportional to 393,214.91, 589,724.69 and 168,549.86

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Solution

The fourth proportional to 393,214.91, 589,724.69 and 168,549.86 is: 252,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,214.91 : 589,724.69 = 168,549.86 : x
  2. Step 2: Convert to fraction form
    393,214.91/589,724.69 = 168,549.86/x
  3. Step 3: Cross multiply
    393,214.91x = 589,724.69 × 168,549.86
  4. Step 4: Simplify right side
    393,214.91x = 99,398,014,569.61
  5. Step 5: Solve for x
    x = 99,398,014,569.61/393,214.91
  6. Step 6: Final answer
    x = 252,782.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.