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Finding the Fourth Proportional to 611,837.90, 844,360.10 and 418,650.63

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Solution

The fourth proportional to 611,837.90, 844,360.10 and 418,650.63 is: 577,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,837.90 : 844,360.10 = 418,650.63 : x
  2. Step 2: Convert to fraction form
    611,837.90/844,360.10 = 418,650.63/x
  3. Step 3: Cross multiply
    611,837.90x = 844,360.10 × 418,650.63
  4. Step 4: Simplify right side
    611,837.90x = 353,491,882,552.26
  5. Step 5: Solve for x
    x = 353,491,882,552.26/611,837.90
  6. Step 6: Final answer
    x = 577,754.14

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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.