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Finding the Fourth Proportional to 491,334.36, 736,750.72 and 224,866.41

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Solution

The fourth proportional to 491,334.36, 736,750.72 and 224,866.41 is: 337,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,334.36 : 736,750.72 = 224,866.41 : x
  2. Step 2: Convert to fraction form
    491,334.36/736,750.72 = 224,866.41/x
  3. Step 3: Cross multiply
    491,334.36x = 736,750.72 × 224,866.41
  4. Step 4: Simplify right side
    491,334.36x = 165,670,489,816.89
  5. Step 5: Solve for x
    x = 165,670,489,816.89/491,334.36
  6. Step 6: Final answer
    x = 337,184.82

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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.