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Finding the Fourth Proportional to 464,841.14, 697,169.90 and 127,794.87

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Solution

The fourth proportional to 464,841.14, 697,169.90 and 127,794.87 is: 191,667.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,841.14 : 697,169.90 = 127,794.87 : x
  2. Step 2: Convert to fraction form
    464,841.14/697,169.90 = 127,794.87/x
  3. Step 3: Cross multiply
    464,841.14x = 697,169.90 × 127,794.87
  4. Step 4: Simplify right side
    464,841.14x = 89,094,737,057.90
  5. Step 5: Solve for x
    x = 89,094,737,057.90/464,841.14
  6. Step 6: Final answer
    x = 191,667.07

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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.