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Finding the Fourth Proportional to 464,678.56, 697,059.42 and 180,362.44

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Solution

The fourth proportional to 464,678.56, 697,059.42 and 180,362.44 is: 270,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,678.56 : 697,059.42 = 180,362.44 : x
  2. Step 2: Convert to fraction form
    464,678.56/697,059.42 = 180,362.44/x
  3. Step 3: Cross multiply
    464,678.56x = 697,059.42 × 180,362.44
  4. Step 4: Simplify right side
    464,678.56x = 125,723,337,816.19
  5. Step 5: Solve for x
    x = 125,723,337,816.19/464,678.56
  6. Step 6: Final answer
    x = 270,559.80

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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.