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Finding the Fourth Proportional to 427,446.58, 642,333.04 and 227,907.94

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Solution

The fourth proportional to 427,446.58, 642,333.04 and 227,907.94 is: 342,482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,446.58 : 642,333.04 = 227,907.94 : x
  2. Step 2: Convert to fraction form
    427,446.58/642,333.04 = 227,907.94/x
  3. Step 3: Cross multiply
    427,446.58x = 642,333.04 × 227,907.94
  4. Step 4: Simplify right side
    427,446.58x = 146,392,799,940.34
  5. Step 5: Solve for x
    x = 146,392,799,940.34/427,446.58
  6. Step 6: Final answer
    x = 342,482.09

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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.