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Finding the Fourth Proportional to 322,569.52, 484,001.16 and 164,716.72

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Solution

The fourth proportional to 322,569.52, 484,001.16 and 164,716.72 is: 247,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,569.52 : 484,001.16 = 164,716.72 : x
  2. Step 2: Convert to fraction form
    322,569.52/484,001.16 = 164,716.72/x
  3. Step 3: Cross multiply
    322,569.52x = 484,001.16 × 164,716.72
  4. Step 4: Simplify right side
    322,569.52x = 79,723,083,551.40
  5. Step 5: Solve for x
    x = 79,723,083,551.40/322,569.52
  6. Step 6: Final answer
    x = 247,150.08

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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.