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Finding the Fourth Proportional to 797,953, 1,101,175.14 and 440,257

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Solution

The fourth proportional to 797,953, 1,101,175.14 and 440,257 is: 607,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,953 : 1,101,175.14 = 440,257 : x
  2. Step 2: Convert to fraction form
    797,953/1,101,175.14 = 440,257/x
  3. Step 3: Cross multiply
    797,953x = 1,101,175.14 × 440,257
  4. Step 4: Simplify right side
    797,953x = 484,800,063,610.98
  5. Step 5: Solve for x
    x = 484,800,063,610.98/797,953
  6. Step 6: Final answer
    x = 607,554.66

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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.