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Finding the Fourth Proportional to 506,935.97, 699,582.57 and 280,581.47

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Solution

The fourth proportional to 506,935.97, 699,582.57 and 280,581.47 is: 387,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,935.97 : 699,582.57 = 280,581.47 : x
  2. Step 2: Convert to fraction form
    506,935.97/699,582.57 = 280,581.47/x
  3. Step 3: Cross multiply
    506,935.97x = 699,582.57 × 280,581.47
  4. Step 4: Simplify right side
    506,935.97x = 196,289,905,528.59
  5. Step 5: Solve for x
    x = 196,289,905,528.59/506,935.97
  6. Step 6: Final answer
    x = 387,208.48

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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.