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Finding the Fourth Proportional to 451,529.78, 677,293.31 and 114,569.78

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Solution

The fourth proportional to 451,529.78, 677,293.31 and 114,569.78 is: 171,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,529.78 : 677,293.31 = 114,569.78 : x
  2. Step 2: Convert to fraction form
    451,529.78/677,293.31 = 114,569.78/x
  3. Step 3: Cross multiply
    451,529.78x = 677,293.31 × 114,569.78
  4. Step 4: Simplify right side
    451,529.78x = 77,597,341,562.86
  5. Step 5: Solve for x
    x = 77,597,341,562.86/451,529.78
  6. Step 6: Final answer
    x = 171,854.32

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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.