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Finding the Fourth Proportional to 437,874.78, 657,071.57 and 185,141.46

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Solution

The fourth proportional to 437,874.78, 657,071.57 and 185,141.46 is: 277,821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,874.78 : 657,071.57 = 185,141.46 : x
  2. Step 2: Convert to fraction form
    437,874.78/657,071.57 = 185,141.46/x
  3. Step 3: Cross multiply
    437,874.78x = 657,071.57 × 185,141.46
  4. Step 4: Simplify right side
    437,874.78x = 121,651,189,794.29
  5. Step 5: Solve for x
    x = 121,651,189,794.29/437,874.78
  6. Step 6: Final answer
    x = 277,821.87

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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.