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Finding the Fourth Proportional to 384,066.75, 575,946.09 and 159,274.47

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Solution

The fourth proportional to 384,066.75, 575,946.09 and 159,274.47 is: 238,847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,066.75 : 575,946.09 = 159,274.47 : x
  2. Step 2: Convert to fraction form
    384,066.75/575,946.09 = 159,274.47/x
  3. Step 3: Cross multiply
    384,066.75x = 575,946.09 × 159,274.47
  4. Step 4: Simplify right side
    384,066.75x = 91,733,508,233.32
  5. Step 5: Solve for x
    x = 91,733,508,233.32/384,066.75
  6. Step 6: Final answer
    x = 238,847.83

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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.