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Finding the Fourth Proportional to 519,305.38, 716,643.58 and 280,841.38

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Solution

The fourth proportional to 519,305.38, 716,643.58 and 280,841.38 is: 387,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,305.38 : 716,643.58 = 280,841.38 : x
  2. Step 2: Convert to fraction form
    519,305.38/716,643.58 = 280,841.38/x
  3. Step 3: Cross multiply
    519,305.38x = 716,643.58 × 280,841.38
  4. Step 4: Simplify right side
    519,305.38x = 201,263,168,392.12
  5. Step 5: Solve for x
    x = 201,263,168,392.12/519,305.38
  6. Step 6: Final answer
    x = 387,562.27

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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.