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Finding the Fourth Proportional to 208,233.40, 287,846.34 and 185,794.78

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Solution

The fourth proportional to 208,233.40, 287,846.34 and 185,794.78 is: 256,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,233.40 : 287,846.34 = 185,794.78 : x
  2. Step 2: Convert to fraction form
    208,233.40/287,846.34 = 185,794.78/x
  3. Step 3: Cross multiply
    208,233.40x = 287,846.34 × 185,794.78
  4. Step 4: Simplify right side
    208,233.40x = 53,480,347,414.11
  5. Step 5: Solve for x
    x = 53,480,347,414.11/208,233.40
  6. Step 6: Final answer
    x = 256,828.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.