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Finding the Fourth Proportional to 697,699, 1,046,704.50 and 254,467

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Solution

The fourth proportional to 697,699, 1,046,704.50 and 254,467 is: 381,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,699 : 1,046,704.50 = 254,467 : x
  2. Step 2: Convert to fraction form
    697,699/1,046,704.50 = 254,467/x
  3. Step 3: Cross multiply
    697,699x = 1,046,704.50 × 254,467
  4. Step 4: Simplify right side
    697,699x = 266,351,754,001.50
  5. Step 5: Solve for x
    x = 266,351,754,001.50/697,699
  6. Step 6: Final answer
    x = 381,757.40

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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.