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Finding the Fourth Proportional to 413,773.36, 619,798.90 and 263,268.11

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Solution

The fourth proportional to 413,773.36, 619,798.90 and 263,268.11 is: 394,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,773.36 : 619,798.90 = 263,268.11 : x
  2. Step 2: Convert to fraction form
    413,773.36/619,798.90 = 263,268.11/x
  3. Step 3: Cross multiply
    413,773.36x = 619,798.90 × 263,268.11
  4. Step 4: Simplify right side
    413,773.36x = 163,173,284,983.08
  5. Step 5: Solve for x
    x = 163,173,284,983.08/413,773.36
  6. Step 6: Final answer
    x = 394,354.25

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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.