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Finding the Fourth Proportional to 519,048.64, 716,288.20 and 280,584.64

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Solution

The fourth proportional to 519,048.64, 716,288.20 and 280,584.64 is: 387,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,048.64 : 716,288.20 = 280,584.64 : x
  2. Step 2: Convert to fraction form
    519,048.64/716,288.20 = 280,584.64/x
  3. Step 3: Cross multiply
    519,048.64x = 716,288.20 × 280,584.64
  4. Step 4: Simplify right side
    519,048.64x = 200,979,466,733.25
  5. Step 5: Solve for x
    x = 200,979,466,733.25/519,048.64
  6. Step 6: Final answer
    x = 387,207.39

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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.