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Finding the Fourth Proportional to 607,042.24, 838,053.80 and 365,384

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Solution

The fourth proportional to 607,042.24, 838,053.80 and 365,384 is: 504,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,042.24 : 838,053.80 = 365,384 : x
  2. Step 2: Convert to fraction form
    607,042.24/838,053.80 = 365,384/x
  3. Step 3: Cross multiply
    607,042.24x = 838,053.80 × 365,384
  4. Step 4: Simplify right side
    607,042.24x = 306,211,449,659.20
  5. Step 5: Solve for x
    x = 306,211,449,659.20/607,042.24
  6. Step 6: Final answer
    x = 504,431.87

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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.