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Finding the Fourth Proportional to 412,114.40, 617,876.40 and 159,178.40

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Solution

The fourth proportional to 412,114.40, 617,876.40 and 159,178.40 is: 238,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,114.40 : 617,876.40 = 159,178.40 : x
  2. Step 2: Convert to fraction form
    412,114.40/617,876.40 = 159,178.40/x
  3. Step 3: Cross multiply
    412,114.40x = 617,876.40 × 159,178.40
  4. Step 4: Simplify right side
    412,114.40x = 98,352,576,749.76
  5. Step 5: Solve for x
    x = 98,352,576,749.76/412,114.40
  6. Step 6: Final answer
    x = 238,653.58

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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.