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Finding the Fourth Proportional to 312,125.23, 430,733.06 and 216,687.29

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Solution

The fourth proportional to 312,125.23, 430,733.06 and 216,687.29 is: 299,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,125.23 : 430,733.06 = 216,687.29 : x
  2. Step 2: Convert to fraction form
    312,125.23/430,733.06 = 216,687.29/x
  3. Step 3: Cross multiply
    312,125.23x = 430,733.06 × 216,687.29
  4. Step 4: Simplify right side
    312,125.23x = 93,334,377,060.28
  5. Step 5: Solve for x
    x = 93,334,377,060.28/312,125.23
  6. Step 6: Final answer
    x = 299,028.62

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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.