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Finding the Fourth Proportional to 292,244.24, 437,978.79 and 150,083.78

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Solution

The fourth proportional to 292,244.24, 437,978.79 and 150,083.78 is: 224,926.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,244.24 : 437,978.79 = 150,083.78 : x
  2. Step 2: Convert to fraction form
    292,244.24/437,978.79 = 150,083.78/x
  3. Step 3: Cross multiply
    292,244.24x = 437,978.79 × 150,083.78
  4. Step 4: Simplify right side
    292,244.24x = 65,733,510,173.13
  5. Step 5: Solve for x
    x = 65,733,510,173.13/292,244.24
  6. Step 6: Final answer
    x = 224,926.63

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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.