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Finding the Fourth Proportional to 437,853.92, 656,808.57 and 185,087.30

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Solution

The fourth proportional to 437,853.92, 656,808.57 and 185,087.30 is: 277,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,853.92 : 656,808.57 = 185,087.30 : x
  2. Step 2: Convert to fraction form
    437,853.92/656,808.57 = 185,087.30/x
  3. Step 3: Cross multiply
    437,853.92x = 656,808.57 × 185,087.30
  4. Step 4: Simplify right side
    437,853.92x = 121,566,924,838.16
  5. Step 5: Solve for x
    x = 121,566,924,838.16/437,853.92
  6. Step 6: Final answer
    x = 277,642.65

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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.