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Finding the Fourth Proportional to 498,196.36, 687,526.17 and 283,367.38

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Solution

The fourth proportional to 498,196.36, 687,526.17 and 283,367.38 is: 391,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,196.36 : 687,526.17 = 283,367.38 : x
  2. Step 2: Convert to fraction form
    498,196.36/687,526.17 = 283,367.38/x
  3. Step 3: Cross multiply
    498,196.36x = 687,526.17 × 283,367.38
  4. Step 4: Simplify right side
    498,196.36x = 194,822,489,474.34
  5. Step 5: Solve for x
    x = 194,822,489,474.34/498,196.36
  6. Step 6: Final answer
    x = 391,055.63

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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.