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Finding the Fourth Proportional to 324,495.78, 487,048.90 and 164,686.42

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Solution

The fourth proportional to 324,495.78, 487,048.90 and 164,686.42 is: 247,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,495.78 : 487,048.90 = 164,686.42 : x
  2. Step 2: Convert to fraction form
    324,495.78/487,048.90 = 164,686.42/x
  3. Step 3: Cross multiply
    324,495.78x = 487,048.90 × 164,686.42
  4. Step 4: Simplify right side
    324,495.78x = 80,210,339,705.94
  5. Step 5: Solve for x
    x = 80,210,339,705.94/324,495.78
  6. Step 6: Final answer
    x = 247,184.54

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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.