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Finding the Fourth Proportional to 469,402.24, 704,028.93 and 149,512.60

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Solution

The fourth proportional to 469,402.24, 704,028.93 and 149,512.60 is: 224,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,402.24 : 704,028.93 = 149,512.60 : x
  2. Step 2: Convert to fraction form
    469,402.24/704,028.93 = 149,512.60/x
  3. Step 3: Cross multiply
    469,402.24x = 704,028.93 × 149,512.60
  4. Step 4: Simplify right side
    469,402.24x = 105,261,195,799.52
  5. Step 5: Solve for x
    x = 105,261,195,799.52/469,402.24
  6. Step 6: Final answer
    x = 224,245.19

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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.