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Finding the Fourth Proportional to 437,774.80, 656,297.70 and 185,249.20

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Solution

The fourth proportional to 437,774.80, 656,297.70 and 185,249.20 is: 277,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,774.80 : 656,297.70 = 185,249.20 : x
  2. Step 2: Convert to fraction form
    437,774.80/656,297.70 = 185,249.20/x
  3. Step 3: Cross multiply
    437,774.80x = 656,297.70 × 185,249.20
  4. Step 4: Simplify right side
    437,774.80x = 121,578,623,886.84
  5. Step 5: Solve for x
    x = 121,578,623,886.84/437,774.80
  6. Step 6: Final answer
    x = 277,719.56

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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.