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Finding the Fourth Proportional to 464,842.64, 697,172.15 and 127,796.37

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Solution

The fourth proportional to 464,842.64, 697,172.15 and 127,796.37 is: 191,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,842.64 : 697,172.15 = 127,796.37 : x
  2. Step 2: Convert to fraction form
    464,842.64/697,172.15 = 127,796.37/x
  3. Step 3: Cross multiply
    464,842.64x = 697,172.15 × 127,796.37
  4. Step 4: Simplify right side
    464,842.64x = 89,096,069,396.11
  5. Step 5: Solve for x
    x = 89,096,069,396.11/464,842.64
  6. Step 6: Final answer
    x = 191,669.31

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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.