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Finding the Fourth Proportional to 322,476.48, 483,715.86 and 97,838.82

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Solution

The fourth proportional to 322,476.48, 483,715.86 and 97,838.82 is: 146,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,476.48 : 483,715.86 = 97,838.82 : x
  2. Step 2: Convert to fraction form
    322,476.48/483,715.86 = 97,838.82/x
  3. Step 3: Cross multiply
    322,476.48x = 483,715.86 × 97,838.82
  4. Step 4: Simplify right side
    322,476.48x = 47,326,188,957.69
  5. Step 5: Solve for x
    x = 47,326,188,957.69/322,476.48
  6. Step 6: Final answer
    x = 146,758.58

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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.