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Finding the Fourth Proportional to 464,934, 697,401 and 114,726

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Solution

The fourth proportional to 464,934, 697,401 and 114,726 is: 172,089

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,934 : 697,401 = 114,726 : x
  2. Step 2: Convert to fraction form
    464,934/697,401 = 114,726/x
  3. Step 3: Cross multiply
    464,934x = 697,401 × 114,726
  4. Step 4: Simplify right side
    464,934x = 80,010,027,126
  5. Step 5: Solve for x
    x = 80,010,027,126/464,934
  6. Step 6: Final answer
    x = 172,089

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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.