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Finding the Fourth Proportional to 534,600, 737,748 and 296,136

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Solution

The fourth proportional to 534,600, 737,748 and 296,136 is: 408,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,600 : 737,748 = 296,136 : x
  2. Step 2: Convert to fraction form
    534,600/737,748 = 296,136/x
  3. Step 3: Cross multiply
    534,600x = 737,748 × 296,136
  4. Step 4: Simplify right side
    534,600x = 218,473,741,728
  5. Step 5: Solve for x
    x = 218,473,741,728/534,600
  6. Step 6: Final answer
    x = 408,667.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.