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Finding the Fourth Proportional to 426,762.23, 588,925 and 233,165.78

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Solution

The fourth proportional to 426,762.23, 588,925 and 233,165.78 is: 321,765.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,762.23 : 588,925 = 233,165.78 : x
  2. Step 2: Convert to fraction form
    426,762.23/588,925 = 233,165.78/x
  3. Step 3: Cross multiply
    426,762.23x = 588,925 × 233,165.78
  4. Step 4: Simplify right side
    426,762.23x = 137,317,156,986.50
  5. Step 5: Solve for x
    x = 137,317,156,986.50/426,762.23
  6. Step 6: Final answer
    x = 321,765.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.