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Finding the Fourth Proportional to 791,536, 1,187,304 and 348,304

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Solution

The fourth proportional to 791,536, 1,187,304 and 348,304 is: 522,456

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,536 : 1,187,304 = 348,304 : x
  2. Step 2: Convert to fraction form
    791,536/1,187,304 = 348,304/x
  3. Step 3: Cross multiply
    791,536x = 1,187,304 × 348,304
  4. Step 4: Simplify right side
    791,536x = 413,542,732,416
  5. Step 5: Solve for x
    x = 413,542,732,416/791,536
  6. Step 6: Final answer
    x = 522,456

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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.