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Finding the Fourth Proportional to 338,725.78, 508,089.58 and 114,243.92

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Solution

The fourth proportional to 338,725.78, 508,089.58 and 114,243.92 is: 171,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,725.78 : 508,089.58 = 114,243.92 : x
  2. Step 2: Convert to fraction form
    338,725.78/508,089.58 = 114,243.92/x
  3. Step 3: Cross multiply
    338,725.78x = 508,089.58 × 114,243.92
  4. Step 4: Simplify right side
    338,725.78x = 58,046,145,330.35
  5. Step 5: Solve for x
    x = 58,046,145,330.35/338,725.78
  6. Step 6: Final answer
    x = 171,366.19

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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.