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Finding the Fourth Proportional to 451,645.93, 676,878.31 and 185,094.37

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Solution

The fourth proportional to 451,645.93, 676,878.31 and 185,094.37 is: 277,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,645.93 : 676,878.31 = 185,094.37 : x
  2. Step 2: Convert to fraction form
    451,645.93/676,878.31 = 185,094.37/x
  3. Step 3: Cross multiply
    451,645.93x = 676,878.31 × 185,094.37
  4. Step 4: Simplify right side
    451,645.93x = 125,286,364,356.12
  5. Step 5: Solve for x
    x = 125,286,364,356.12/451,645.93
  6. Step 6: Final answer
    x = 277,399.52

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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.