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Finding the Fourth Proportional to 458,096.24, 632,043.60 and 296,958.08

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Solution

The fourth proportional to 458,096.24, 632,043.60 and 296,958.08 is: 409,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,096.24 : 632,043.60 = 296,958.08 : x
  2. Step 2: Convert to fraction form
    458,096.24/632,043.60 = 296,958.08/x
  3. Step 3: Cross multiply
    458,096.24x = 632,043.60 × 296,958.08
  4. Step 4: Simplify right side
    458,096.24x = 187,690,453,932.29
  5. Step 5: Solve for x
    x = 187,690,453,932.29/458,096.24
  6. Step 6: Final answer
    x = 409,718.39

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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.