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Finding the Fourth Proportional to 338,911.52, 467,702.57 and 185,946.86

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Solution

The fourth proportional to 338,911.52, 467,702.57 and 185,946.86 is: 256,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,911.52 : 467,702.57 = 185,946.86 : x
  2. Step 2: Convert to fraction form
    338,911.52/467,702.57 = 185,946.86/x
  3. Step 3: Cross multiply
    338,911.52x = 467,702.57 × 185,946.86
  4. Step 4: Simplify right side
    338,911.52x = 86,967,825,939.55
  5. Step 5: Solve for x
    x = 86,967,825,939.55/338,911.52
  6. Step 6: Final answer
    x = 256,609.24

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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.