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Finding the Fourth Proportional to 357,502.45, 493,233.31 and 202,432.61

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Solution

The fourth proportional to 357,502.45, 493,233.31 and 202,432.61 is: 279,289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,502.45 : 493,233.31 = 202,432.61 : x
  2. Step 2: Convert to fraction form
    357,502.45/493,233.31 = 202,432.61/x
  3. Step 3: Cross multiply
    357,502.45x = 493,233.31 × 202,432.61
  4. Step 4: Simplify right side
    357,502.45x = 99,846,504,069.11
  5. Step 5: Solve for x
    x = 99,846,504,069.11/357,502.45
  6. Step 6: Final answer
    x = 279,289.01

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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.