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Finding the Fourth Proportional to 697,698, 1,046,703 and 254,466

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Solution

The fourth proportional to 697,698, 1,046,703 and 254,466 is: 381,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,698 : 1,046,703 = 254,466 : x
  2. Step 2: Convert to fraction form
    697,698/1,046,703 = 254,466/x
  3. Step 3: Cross multiply
    697,698x = 1,046,703 × 254,466
  4. Step 4: Simplify right side
    697,698x = 266,350,325,598
  5. Step 5: Solve for x
    x = 266,350,325,598/697,698
  6. Step 6: Final answer
    x = 381,755.90

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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.