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Finding the Fourth Proportional to 467,208.20, 700,974.93 and 147,409.44

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Solution

The fourth proportional to 467,208.20, 700,974.93 and 147,409.44 is: 221,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,208.20 : 700,974.93 = 147,409.44 : x
  2. Step 2: Convert to fraction form
    467,208.20/700,974.93 = 147,409.44/x
  3. Step 3: Cross multiply
    467,208.20x = 700,974.93 × 147,409.44
  4. Step 4: Simplify right side
    467,208.20x = 103,330,321,885.34
  5. Step 5: Solve for x
    x = 103,330,321,885.34/467,208.20
  6. Step 6: Final answer
    x = 221,165.47

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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.