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Finding the Fourth Proportional to 426,174.56, 588,342.01 and 311,324.24

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Solution

The fourth proportional to 426,174.56, 588,342.01 and 311,324.24 is: 429,788.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,174.56 : 588,342.01 = 311,324.24 : x
  2. Step 2: Convert to fraction form
    426,174.56/588,342.01 = 311,324.24/x
  3. Step 3: Cross multiply
    426,174.56x = 588,342.01 × 311,324.24
  4. Step 4: Simplify right side
    426,174.56x = 183,165,125,403.30
  5. Step 5: Solve for x
    x = 183,165,125,403.30/426,174.56
  6. Step 6: Final answer
    x = 429,788.98

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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.