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Finding the Fourth Proportional to 599,264.88, 827,029.08 and 344,695.92

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Solution

The fourth proportional to 599,264.88, 827,029.08 and 344,695.92 is: 475,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,264.88 : 827,029.08 = 344,695.92 : x
  2. Step 2: Convert to fraction form
    599,264.88/827,029.08 = 344,695.92/x
  3. Step 3: Cross multiply
    599,264.88x = 827,029.08 × 344,695.92
  4. Step 4: Simplify right side
    599,264.88x = 285,073,549,597.35
  5. Step 5: Solve for x
    x = 285,073,549,597.35/599,264.88
  6. Step 6: Final answer
    x = 475,705.42

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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.