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Finding the Fourth Proportional to 509,946.36, 703,739.22 and 280,509.54

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Solution

The fourth proportional to 509,946.36, 703,739.22 and 280,509.54 is: 387,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,946.36 : 703,739.22 = 280,509.54 : x
  2. Step 2: Convert to fraction form
    509,946.36/703,739.22 = 280,509.54/x
  3. Step 3: Cross multiply
    509,946.36x = 703,739.22 × 280,509.54
  4. Step 4: Simplify right side
    509,946.36x = 197,405,564,882.16
  5. Step 5: Solve for x
    x = 197,405,564,882.16/509,946.36
  6. Step 6: Final answer
    x = 387,110.45

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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.