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Finding the Fourth Proportional to 434,903.78, 652,093.51 and 194,974.25

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Solution

The fourth proportional to 434,903.78, 652,093.51 and 194,974.25 is: 292,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,903.78 : 652,093.51 = 194,974.25 : x
  2. Step 2: Convert to fraction form
    434,903.78/652,093.51 = 194,974.25/x
  3. Step 3: Cross multiply
    434,903.78x = 652,093.51 × 194,974.25
  4. Step 4: Simplify right side
    434,903.78x = 127,141,443,042.12
  5. Step 5: Solve for x
    x = 127,141,443,042.12/434,903.78
  6. Step 6: Final answer
    x = 292,343.85

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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.