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Finding the Fourth Proportional to 519,327.88, 776,942.10 and 393,331.16

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Solution

The fourth proportional to 519,327.88, 776,942.10 and 393,331.16 is: 588,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,327.88 : 776,942.10 = 393,331.16 : x
  2. Step 2: Convert to fraction form
    519,327.88/776,942.10 = 393,331.16/x
  3. Step 3: Cross multiply
    519,327.88x = 776,942.10 × 393,331.16
  4. Step 4: Simplify right side
    519,327.88x = 305,595,539,388.19
  5. Step 5: Solve for x
    x = 305,595,539,388.19/519,327.88
  6. Step 6: Final answer
    x = 588,444.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.