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Finding the Fourth Proportional to 314,558.11, 472,040.16 and 114,861.78

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Solution

The fourth proportional to 314,558.11, 472,040.16 and 114,861.78 is: 172,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,558.11 : 472,040.16 = 114,861.78 : x
  2. Step 2: Convert to fraction form
    314,558.11/472,040.16 = 114,861.78/x
  3. Step 3: Cross multiply
    314,558.11x = 472,040.16 × 114,861.78
  4. Step 4: Simplify right side
    314,558.11x = 54,219,370,074.58
  5. Step 5: Solve for x
    x = 54,219,370,074.58/314,558.11
  6. Step 6: Final answer
    x = 172,366.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.