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Finding the Fourth Proportional to 295,270.71, 442,999.26 and 224,532.15

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Solution

The fourth proportional to 295,270.71, 442,999.26 and 224,532.15 is: 336,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,270.71 : 442,999.26 = 224,532.15 : x
  2. Step 2: Convert to fraction form
    295,270.71/442,999.26 = 224,532.15/x
  3. Step 3: Cross multiply
    295,270.71x = 442,999.26 × 224,532.15
  4. Step 4: Simplify right side
    295,270.71x = 99,467,576,296.21
  5. Step 5: Solve for x
    x = 99,467,576,296.21/295,270.71
  6. Step 6: Final answer
    x = 336,869.09

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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.