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Finding the Fourth Proportional to 219,324.48, 328,983.84 and 69,564.48

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Solution

The fourth proportional to 219,324.48, 328,983.84 and 69,564.48 is: 104,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,324.48 : 328,983.84 = 69,564.48 : x
  2. Step 2: Convert to fraction form
    219,324.48/328,983.84 = 69,564.48/x
  3. Step 3: Cross multiply
    219,324.48x = 328,983.84 × 69,564.48
  4. Step 4: Simplify right side
    219,324.48x = 22,885,589,758.00
  5. Step 5: Solve for x
    x = 22,885,589,758.00/219,324.48
  6. Step 6: Final answer
    x = 104,345.81

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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.