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Finding the Fourth Proportional to 464,842.14, 697,171.40 and 127,795.87

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Solution

The fourth proportional to 464,842.14, 697,171.40 and 127,795.87 is: 191,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,842.14 : 697,171.40 = 127,795.87 : x
  2. Step 2: Convert to fraction form
    464,842.14/697,171.40 = 127,795.87/x
  3. Step 3: Cross multiply
    464,842.14x = 697,171.40 × 127,795.87
  4. Step 4: Simplify right side
    464,842.14x = 89,095,625,602.12
  5. Step 5: Solve for x
    x = 89,095,625,602.12/464,842.14
  6. Step 6: Final answer
    x = 191,668.56

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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.