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Finding the Fourth Proportional to 538,611.92, 743,284.24 and 296,898.50

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Solution

The fourth proportional to 538,611.92, 743,284.24 and 296,898.50 is: 409,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,611.92 : 743,284.24 = 296,898.50 : x
  2. Step 2: Convert to fraction form
    538,611.92/743,284.24 = 296,898.50/x
  3. Step 3: Cross multiply
    538,611.92x = 743,284.24 × 296,898.50
  4. Step 4: Simplify right side
    538,611.92x = 220,679,975,929.64
  5. Step 5: Solve for x
    x = 220,679,975,929.64/538,611.92
  6. Step 6: Final answer
    x = 409,719.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.