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Finding the Fourth Proportional to 484,442.94, 726,713.94 and 185,175.42

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Solution

The fourth proportional to 484,442.94, 726,713.94 and 185,175.42 is: 277,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,442.94 : 726,713.94 = 185,175.42 : x
  2. Step 2: Convert to fraction form
    484,442.94/726,713.94 = 185,175.42/x
  3. Step 3: Cross multiply
    484,442.94x = 726,713.94 × 185,175.42
  4. Step 4: Simplify right side
    484,442.94x = 134,569,559,059.36
  5. Step 5: Solve for x
    x = 134,569,559,059.36/484,442.94
  6. Step 6: Final answer
    x = 277,782.06

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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.