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Finding the Fourth Proportional to 464,932, 697,398 and 114,724

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Solution

The fourth proportional to 464,932, 697,398 and 114,724 is: 172,086

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,932 : 697,398 = 114,724 : x
  2. Step 2: Convert to fraction form
    464,932/697,398 = 114,724/x
  3. Step 3: Cross multiply
    464,932x = 697,398 × 114,724
  4. Step 4: Simplify right side
    464,932x = 80,008,288,152
  5. Step 5: Solve for x
    x = 80,008,288,152/464,932
  6. Step 6: Final answer
    x = 172,086

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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.