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Finding the Fourth Proportional to 519,269.16, 716,591.14 and 280,805.16

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Solution

The fourth proportional to 519,269.16, 716,591.14 and 280,805.16 is: 387,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,269.16 : 716,591.14 = 280,805.16 : x
  2. Step 2: Convert to fraction form
    519,269.16/716,591.14 = 280,805.16/x
  3. Step 3: Cross multiply
    519,269.16x = 716,591.14 × 280,805.16
  4. Step 4: Simplify right side
    519,269.16x = 201,222,489,722.28
  5. Step 5: Solve for x
    x = 201,222,489,722.28/519,269.16
  6. Step 6: Final answer
    x = 387,510.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.