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Finding the Fourth Proportional to 491,614.40, 736,782.56 and 221,544.32

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Solution

The fourth proportional to 491,614.40, 736,782.56 and 221,544.32 is: 332,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,614.40 : 736,782.56 = 221,544.32 : x
  2. Step 2: Convert to fraction form
    491,614.40/736,782.56 = 221,544.32/x
  3. Step 3: Cross multiply
    491,614.40x = 736,782.56 × 221,544.32
  4. Step 4: Simplify right side
    491,614.40x = 163,229,991,243.06
  5. Step 5: Solve for x
    x = 163,229,991,243.06/491,614.40
  6. Step 6: Final answer
    x = 332,028.50

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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.