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Finding the Fourth Proportional to 519,452.13, 779,657.16 and 263,464.37

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Solution

The fourth proportional to 519,452.13, 779,657.16 and 263,464.37 is: 395,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,452.13 : 779,657.16 = 263,464.37 : x
  2. Step 2: Convert to fraction form
    519,452.13/779,657.16 = 263,464.37/x
  3. Step 3: Cross multiply
    519,452.13x = 779,657.16 × 263,464.37
  4. Step 4: Simplify right side
    519,452.13x = 205,411,882,488.81
  5. Step 5: Solve for x
    x = 205,411,882,488.81/519,452.13
  6. Step 6: Final answer
    x = 395,439.49

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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.