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Finding the Fourth Proportional to 503,053.90, 693,985.39 and 298,988.86

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Solution

The fourth proportional to 503,053.90, 693,985.39 and 298,988.86 is: 412,468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,053.90 : 693,985.39 = 298,988.86 : x
  2. Step 2: Convert to fraction form
    503,053.90/693,985.39 = 298,988.86/x
  3. Step 3: Cross multiply
    503,053.90x = 693,985.39 × 298,988.86
  4. Step 4: Simplify right side
    503,053.90x = 207,493,901,383.38
  5. Step 5: Solve for x
    x = 207,493,901,383.38/503,053.90
  6. Step 6: Final answer
    x = 412,468.53

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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.