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Finding the Fourth Proportional to 323,070.69, 484,169.31 and 233,267.00

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Solution

The fourth proportional to 323,070.69, 484,169.31 and 233,267.00 is: 349,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,070.69 : 484,169.31 = 233,267.00 : x
  2. Step 2: Convert to fraction form
    323,070.69/484,169.31 = 233,267.00/x
  3. Step 3: Cross multiply
    323,070.69x = 484,169.31 × 233,267.00
  4. Step 4: Simplify right side
    323,070.69x = 112,940,721,704.68
  5. Step 5: Solve for x
    x = 112,940,721,704.68/323,070.69
  6. Step 6: Final answer
    x = 349,585.17

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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.