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Finding the Fourth Proportional to 464,686.56, 697,071.42 and 180,370.44

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Solution

The fourth proportional to 464,686.56, 697,071.42 and 180,370.44 is: 270,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,686.56 : 697,071.42 = 180,370.44 : x
  2. Step 2: Convert to fraction form
    464,686.56/697,071.42 = 180,370.44/x
  3. Step 3: Cross multiply
    464,686.56x = 697,071.42 × 180,370.44
  4. Step 4: Simplify right side
    464,686.56x = 125,731,078,736.83
  5. Step 5: Solve for x
    x = 125,731,078,736.83/464,686.56
  6. Step 6: Final answer
    x = 270,571.80

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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.