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Finding the Fourth Proportional to 419,726.64, 579,203.12 and 238,434.08

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Solution

The fourth proportional to 419,726.64, 579,203.12 and 238,434.08 is: 329,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,726.64 : 579,203.12 = 238,434.08 : x
  2. Step 2: Convert to fraction form
    419,726.64/579,203.12 = 238,434.08/x
  3. Step 3: Cross multiply
    419,726.64x = 579,203.12 × 238,434.08
  4. Step 4: Simplify right side
    419,726.64x = 138,101,763,050.33
  5. Step 5: Solve for x
    x = 138,101,763,050.33/419,726.64
  6. Step 6: Final answer
    x = 329,027.87

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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.