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Finding the Fourth Proportional to 307,894.34, 424,893.38 and 171,927.20

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Solution

The fourth proportional to 307,894.34, 424,893.38 and 171,927.20 is: 237,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,894.34 : 424,893.38 = 171,927.20 : x
  2. Step 2: Convert to fraction form
    307,894.34/424,893.38 = 171,927.20/x
  3. Step 3: Cross multiply
    307,894.34x = 424,893.38 × 171,927.20
  4. Step 4: Simplify right side
    307,894.34x = 73,050,729,121.94
  5. Step 5: Solve for x
    x = 73,050,729,121.94/307,894.34
  6. Step 6: Final answer
    x = 237,259.08

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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.