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Finding the Fourth Proportional to 322,885.78, 484,323.81 and 145,267.36

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Solution

The fourth proportional to 322,885.78, 484,323.81 and 145,267.36 is: 217,898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,885.78 : 484,323.81 = 145,267.36 : x
  2. Step 2: Convert to fraction form
    322,885.78/484,323.81 = 145,267.36/x
  3. Step 3: Cross multiply
    322,885.78x = 484,323.81 × 145,267.36
  4. Step 4: Simplify right side
    322,885.78x = 70,356,441,263.84
  5. Step 5: Solve for x
    x = 70,356,441,263.84/322,885.78
  6. Step 6: Final answer
    x = 217,898.85

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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.