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Finding the Fourth Proportional to 397,340.70, 596,011.06 and 116,857.96

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Solution

The fourth proportional to 397,340.70, 596,011.06 and 116,857.96 is: 175,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,340.70 : 596,011.06 = 116,857.96 : x
  2. Step 2: Convert to fraction form
    397,340.70/596,011.06 = 116,857.96/x
  3. Step 3: Cross multiply
    397,340.70x = 596,011.06 × 116,857.96
  4. Step 4: Simplify right side
    397,340.70x = 69,648,636,609.04
  5. Step 5: Solve for x
    x = 69,648,636,609.04/397,340.70
  6. Step 6: Final answer
    x = 175,286.94

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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.