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Finding the Fourth Proportional to 427,121.98, 589,330.40 and 255,006.42

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Solution

The fourth proportional to 427,121.98, 589,330.40 and 255,006.42 is: 351,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,121.98 : 589,330.40 = 255,006.42 : x
  2. Step 2: Convert to fraction form
    427,121.98/589,330.40 = 255,006.42/x
  3. Step 3: Cross multiply
    427,121.98x = 589,330.40 × 255,006.42
  4. Step 4: Simplify right side
    427,121.98x = 150,283,035,501.17
  5. Step 5: Solve for x
    x = 150,283,035,501.17/427,121.98
  6. Step 6: Final answer
    x = 351,850.39

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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.