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Finding the Fourth Proportional to 464,714.62, 697,063.42 and 127,753.91

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Solution

The fourth proportional to 464,714.62, 697,063.42 and 127,753.91 is: 191,628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,714.62 : 697,063.42 = 127,753.91 : x
  2. Step 2: Convert to fraction form
    464,714.62/697,063.42 = 127,753.91/x
  3. Step 3: Cross multiply
    464,714.62x = 697,063.42 × 127,753.91
  4. Step 4: Simplify right side
    464,714.62x = 89,052,576,711.34
  5. Step 5: Solve for x
    x = 89,052,576,711.34/464,714.62
  6. Step 6: Final answer
    x = 191,628.53

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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.