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Finding the Fourth Proportional to 397,876.68, 596,834.84 and 113,609.40

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Solution

The fourth proportional to 397,876.68, 596,834.84 and 113,609.40 is: 170,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,876.68 : 596,834.84 = 113,609.40 : x
  2. Step 2: Convert to fraction form
    397,876.68/596,834.84 = 113,609.40/x
  3. Step 3: Cross multiply
    397,876.68x = 596,834.84 × 113,609.40
  4. Step 4: Simplify right side
    397,876.68x = 67,806,048,071.50
  5. Step 5: Solve for x
    x = 67,806,048,071.50/397,876.68
  6. Step 6: Final answer
    x = 170,419.76

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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.