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Finding the Fourth Proportional to 426,644.86, 588,771.92 and 233,055.26

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Solution

The fourth proportional to 426,644.86, 588,771.92 and 233,055.26 is: 321,617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,644.86 : 588,771.92 = 233,055.26 : x
  2. Step 2: Convert to fraction form
    426,644.86/588,771.92 = 233,055.26/x
  3. Step 3: Cross multiply
    426,644.86x = 588,771.92 × 233,055.26
  4. Step 4: Simplify right side
    426,644.86x = 137,216,390,328.09
  5. Step 5: Solve for x
    x = 137,216,390,328.09/426,644.86
  6. Step 6: Final answer
    x = 321,617.35

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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.