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Finding the Fourth Proportional to 464,844.14, 697,174.40 and 127,797.87

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Solution

The fourth proportional to 464,844.14, 697,174.40 and 127,797.87 is: 191,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,844.14 : 697,174.40 = 127,797.87 : x
  2. Step 2: Convert to fraction form
    464,844.14/697,174.40 = 127,797.87/x
  3. Step 3: Cross multiply
    464,844.14x = 697,174.40 × 127,797.87
  4. Step 4: Simplify right side
    464,844.14x = 89,097,402,699.54
  5. Step 5: Solve for x
    x = 89,097,402,699.54/464,844.14
  6. Step 6: Final answer
    x = 191,671.56

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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.