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Finding the Fourth Proportional to 519,154.71, 716,757.83 and 398,063.25

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Solution

The fourth proportional to 519,154.71, 716,757.83 and 398,063.25 is: 549,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,154.71 : 716,757.83 = 398,063.25 : x
  2. Step 2: Convert to fraction form
    519,154.71/716,757.83 = 398,063.25/x
  3. Step 3: Cross multiply
    519,154.71x = 716,757.83 × 398,063.25
  4. Step 4: Simplify right side
    519,154.71x = 285,314,951,272.75
  5. Step 5: Solve for x
    x = 285,314,951,272.75/519,154.71
  6. Step 6: Final answer
    x = 549,575.97

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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.