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Finding the Fourth Proportional to 541,650.58, 747,477.33 and 299,933.14

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Solution

The fourth proportional to 541,650.58, 747,477.33 and 299,933.14 is: 413,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,650.58 : 747,477.33 = 299,933.14 : x
  2. Step 2: Convert to fraction form
    541,650.58/747,477.33 = 299,933.14/x
  3. Step 3: Cross multiply
    541,650.58x = 747,477.33 × 299,933.14
  4. Step 4: Simplify right side
    541,650.58x = 224,193,222,665.72
  5. Step 5: Solve for x
    x = 224,193,222,665.72/541,650.58
  6. Step 6: Final answer
    x = 413,907.47

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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.