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Finding the Fourth Proportional to 406,944, 610,416 and 157,626

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Solution

The fourth proportional to 406,944, 610,416 and 157,626 is: 236,439

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,944 : 610,416 = 157,626 : x
  2. Step 2: Convert to fraction form
    406,944/610,416 = 157,626/x
  3. Step 3: Cross multiply
    406,944x = 610,416 × 157,626
  4. Step 4: Simplify right side
    406,944x = 96,217,432,416
  5. Step 5: Solve for x
    x = 96,217,432,416/406,944
  6. Step 6: Final answer
    x = 236,439

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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.