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Finding the Fourth Proportional to 397,889.92, 596,834.52 and 117,385.12

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Solution

The fourth proportional to 397,889.92, 596,834.52 and 117,385.12 is: 176,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,889.92 : 596,834.52 = 117,385.12 : x
  2. Step 2: Convert to fraction form
    397,889.92/596,834.52 = 117,385.12/x
  3. Step 3: Cross multiply
    397,889.92x = 596,834.52 × 117,385.12
  4. Step 4: Simplify right side
    397,889.92x = 70,059,491,750.34
  5. Step 5: Solve for x
    x = 70,059,491,750.34/397,889.92
  6. Step 6: Final answer
    x = 176,077.57

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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.