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Finding the Fourth Proportional to 464,929, 697,393.50 and 114,721

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Solution

The fourth proportional to 464,929, 697,393.50 and 114,721 is: 172,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,929 : 697,393.50 = 114,721 : x
  2. Step 2: Convert to fraction form
    464,929/697,393.50 = 114,721/x
  3. Step 3: Cross multiply
    464,929x = 697,393.50 × 114,721
  4. Step 4: Simplify right side
    464,929x = 80,005,679,713.50
  5. Step 5: Solve for x
    x = 80,005,679,713.50/464,929
  6. Step 6: Final answer
    x = 172,081.50

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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.