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Finding the Fourth Proportional to 437,853.42, 656,807.82 and 185,086.80

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Solution

The fourth proportional to 437,853.42, 656,807.82 and 185,086.80 is: 277,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,853.42 : 656,807.82 = 185,086.80 : x
  2. Step 2: Convert to fraction form
    437,853.42/656,807.82 = 185,086.80/x
  3. Step 3: Cross multiply
    437,853.42x = 656,807.82 × 185,086.80
  4. Step 4: Simplify right side
    437,853.42x = 121,566,457,618.78
  5. Step 5: Solve for x
    x = 121,566,457,618.78/437,853.42
  6. Step 6: Final answer
    x = 277,641.90

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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.