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Finding the Fourth Proportional to 356,586.90, 492,025.41 and 229,233.30

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Solution

The fourth proportional to 356,586.90, 492,025.41 and 229,233.30 is: 316,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,586.90 : 492,025.41 = 229,233.30 : x
  2. Step 2: Convert to fraction form
    356,586.90/492,025.41 = 229,233.30/x
  3. Step 3: Cross multiply
    356,586.90x = 492,025.41 × 229,233.30
  4. Step 4: Simplify right side
    356,586.90x = 112,788,608,418.15
  5. Step 5: Solve for x
    x = 112,788,608,418.15/356,586.90
  6. Step 6: Final answer
    x = 316,300.48

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Why These Related Problems?

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