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Finding the Fourth Proportional to 754,276, 1,040,930.04 and 414,736.96

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Solution

The fourth proportional to 754,276, 1,040,930.04 and 414,736.96 is: 572,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,276 : 1,040,930.04 = 414,736.96 : x
  2. Step 2: Convert to fraction form
    754,276/1,040,930.04 = 414,736.96/x
  3. Step 3: Cross multiply
    754,276x = 1,040,930.04 × 414,736.96
  4. Step 4: Simplify right side
    754,276x = 431,712,160,362.28
  5. Step 5: Solve for x
    x = 431,712,160,362.28/754,276
  6. Step 6: Final answer
    x = 572,353.04

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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.