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Finding the Fourth Proportional to 510,247.26, 704,098.31 and 300,661.92

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Solution

The fourth proportional to 510,247.26, 704,098.31 and 300,661.92 is: 414,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,247.26 : 704,098.31 = 300,661.92 : x
  2. Step 2: Convert to fraction form
    510,247.26/704,098.31 = 300,661.92/x
  3. Step 3: Cross multiply
    510,247.26x = 704,098.31 × 300,661.92
  4. Step 4: Simplify right side
    510,247.26x = 211,695,548,250.05
  5. Step 5: Solve for x
    x = 211,695,548,250.05/510,247.26
  6. Step 6: Final answer
    x = 414,888.16

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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.