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Finding the Fourth Proportional to 426,642.12, 588,762.63 and 233,049.96

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Solution

The fourth proportional to 426,642.12, 588,762.63 and 233,049.96 is: 321,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,642.12 : 588,762.63 = 233,049.96 : x
  2. Step 2: Convert to fraction form
    426,642.12/588,762.63 = 233,049.96/x
  3. Step 3: Cross multiply
    426,642.12x = 588,762.63 × 233,049.96
  4. Step 4: Simplify right side
    426,642.12x = 137,211,107,371.00
  5. Step 5: Solve for x
    x = 137,211,107,371.00/426,642.12
  6. Step 6: Final answer
    x = 321,607.04

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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.