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Finding the Fourth Proportional to 339,263.64, 508,120.34 and 161,895.20

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Solution

The fourth proportional to 339,263.64, 508,120.34 and 161,895.20 is: 242,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,263.64 : 508,120.34 = 161,895.20 : x
  2. Step 2: Convert to fraction form
    339,263.64/508,120.34 = 161,895.20/x
  3. Step 3: Cross multiply
    339,263.64x = 508,120.34 × 161,895.20
  4. Step 4: Simplify right side
    339,263.64x = 82,262,244,068.37
  5. Step 5: Solve for x
    x = 82,262,244,068.37/339,263.64
  6. Step 6: Final answer
    x = 242,472.92

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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.