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Finding the Fourth Proportional to 292,245.24, 437,980.29 and 150,084.78

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Solution

The fourth proportional to 292,245.24, 437,980.29 and 150,084.78 is: 224,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,245.24 : 437,980.29 = 150,084.78 : x
  2. Step 2: Convert to fraction form
    292,245.24/437,980.29 = 150,084.78/x
  3. Step 3: Cross multiply
    292,245.24x = 437,980.29 × 150,084.78
  4. Step 4: Simplify right side
    292,245.24x = 65,734,175,468.99
  5. Step 5: Solve for x
    x = 65,734,175,468.99/292,245.24
  6. Step 6: Final answer
    x = 224,928.13

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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.