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Finding the Fourth Proportional to 357,439.41, 493,143.07 and 228,453.38

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Solution

The fourth proportional to 357,439.41, 493,143.07 and 228,453.38 is: 315,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,439.41 : 493,143.07 = 228,453.38 : x
  2. Step 2: Convert to fraction form
    357,439.41/493,143.07 = 228,453.38/x
  3. Step 3: Cross multiply
    357,439.41x = 493,143.07 × 228,453.38
  4. Step 4: Simplify right side
    357,439.41x = 112,660,201,165.08
  5. Step 5: Solve for x
    x = 112,660,201,165.08/357,439.41
  6. Step 6: Final answer
    x = 315,186.85

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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.