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Finding the Fourth Proportional to 384,345.24, 576,538.92 and 159,728.28

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Solution

The fourth proportional to 384,345.24, 576,538.92 and 159,728.28 is: 239,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,345.24 : 576,538.92 = 159,728.28 : x
  2. Step 2: Convert to fraction form
    384,345.24/576,538.92 = 159,728.28/x
  3. Step 3: Cross multiply
    384,345.24x = 576,538.92 × 159,728.28
  4. Step 4: Simplify right side
    384,345.24x = 92,089,570,044.66
  5. Step 5: Solve for x
    x = 92,089,570,044.66/384,345.24
  6. Step 6: Final answer
    x = 239,601.17

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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.