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Finding the Fourth Proportional to 420,307.54, 580,026.30 and 229,324.92

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Solution

The fourth proportional to 420,307.54, 580,026.30 and 229,324.92 is: 316,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,307.54 : 580,026.30 = 229,324.92 : x
  2. Step 2: Convert to fraction form
    420,307.54/580,026.30 = 229,324.92/x
  3. Step 3: Cross multiply
    420,307.54x = 580,026.30 × 229,324.92
  4. Step 4: Simplify right side
    420,307.54x = 133,014,484,845.40
  5. Step 5: Solve for x
    x = 133,014,484,845.40/420,307.54
  6. Step 6: Final answer
    x = 316,469.42

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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.