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Finding the Fourth Proportional to 464,930, 697,395 and 114,722

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Solution

The fourth proportional to 464,930, 697,395 and 114,722 is: 172,083

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,930 : 697,395 = 114,722 : x
  2. Step 2: Convert to fraction form
    464,930/697,395 = 114,722/x
  3. Step 3: Cross multiply
    464,930x = 697,395 × 114,722
  4. Step 4: Simplify right side
    464,930x = 80,006,549,190
  5. Step 5: Solve for x
    x = 80,006,549,190/464,930
  6. Step 6: Final answer
    x = 172,083

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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.