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Finding the Fourth Proportional to 484,069.14, 726,103.40 and 147,108.94

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Solution

The fourth proportional to 484,069.14, 726,103.40 and 147,108.94 is: 220,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,069.14 : 726,103.40 = 147,108.94 : x
  2. Step 2: Convert to fraction form
    484,069.14/726,103.40 = 147,108.94/x
  3. Step 3: Cross multiply
    484,069.14x = 726,103.40 × 147,108.94
  4. Step 4: Simplify right side
    484,069.14x = 106,816,301,504.40
  5. Step 5: Solve for x
    x = 106,816,301,504.40/484,069.14
  6. Step 6: Final answer
    x = 220,663.32

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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.