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Finding the Fourth Proportional to 497,436.22, 686,392.68 and 279,614.02

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Solution

The fourth proportional to 497,436.22, 686,392.68 and 279,614.02 is: 385,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,436.22 : 686,392.68 = 279,614.02 : x
  2. Step 2: Convert to fraction form
    497,436.22/686,392.68 = 279,614.02/x
  3. Step 3: Cross multiply
    497,436.22x = 686,392.68 × 279,614.02
  4. Step 4: Simplify right side
    497,436.22x = 191,925,016,553.37
  5. Step 5: Solve for x
    x = 191,925,016,553.37/497,436.22
  6. Step 6: Final answer
    x = 385,828.39

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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.