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Finding the Fourth Proportional to 706,045.12, 1,058,735.04 and 256,448.96

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Solution

The fourth proportional to 706,045.12, 1,058,735.04 and 256,448.96 is: 384,552.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,045.12 : 1,058,735.04 = 256,448.96 : x
  2. Step 2: Convert to fraction form
    706,045.12/1,058,735.04 = 256,448.96/x
  3. Step 3: Cross multiply
    706,045.12x = 1,058,735.04 × 256,448.96
  4. Step 4: Simplify right side
    706,045.12x = 271,511,499,923.56
  5. Step 5: Solve for x
    x = 271,511,499,923.56/706,045.12
  6. Step 6: Final answer
    x = 384,552.62

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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.