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Finding the Fourth Proportional to 519,226, 716,531.92 and 280,762

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Solution

The fourth proportional to 519,226, 716,531.92 and 280,762 is: 387,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,226 : 716,531.92 = 280,762 : x
  2. Step 2: Convert to fraction form
    519,226/716,531.92 = 280,762/x
  3. Step 3: Cross multiply
    519,226x = 716,531.92 × 280,762
  4. Step 4: Simplify right side
    519,226x = 201,174,934,923.04
  5. Step 5: Solve for x
    x = 201,174,934,923.04/519,226
  6. Step 6: Final answer
    x = 387,451.58

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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.