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Finding the Fourth Proportional to 338,447.16, 467,057.16 and 185,491.42

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Solution

The fourth proportional to 338,447.16, 467,057.16 and 185,491.42 is: 255,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,447.16 : 467,057.16 = 185,491.42 : x
  2. Step 2: Convert to fraction form
    338,447.16/467,057.16 = 185,491.42/x
  3. Step 3: Cross multiply
    338,447.16x = 467,057.16 × 185,491.42
  4. Step 4: Simplify right side
    338,447.16x = 86,635,095,829.57
  5. Step 5: Solve for x
    x = 86,635,095,829.57/338,447.16
  6. Step 6: Final answer
    x = 255,978.21

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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.