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Finding the Fourth Proportional to 397,339.70, 596,009.56 and 116,856.96

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Solution

The fourth proportional to 397,339.70, 596,009.56 and 116,856.96 is: 175,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,339.70 : 596,009.56 = 116,856.96 : x
  2. Step 2: Convert to fraction form
    397,339.70/596,009.56 = 116,856.96/x
  3. Step 3: Cross multiply
    397,339.70x = 596,009.56 × 116,856.96
  4. Step 4: Simplify right side
    397,339.70x = 69,647,865,312.54
  5. Step 5: Solve for x
    x = 69,647,865,312.54/397,339.70
  6. Step 6: Final answer
    x = 175,285.44

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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.