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Finding the Fourth Proportional to 502,108.05, 692,604.82 and 298,024.50

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Solution

The fourth proportional to 502,108.05, 692,604.82 and 298,024.50 is: 411,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,108.05 : 692,604.82 = 298,024.50 : x
  2. Step 2: Convert to fraction form
    502,108.05/692,604.82 = 298,024.50/x
  3. Step 3: Cross multiply
    502,108.05x = 692,604.82 × 298,024.50
  4. Step 4: Simplify right side
    502,108.05x = 206,413,205,178.09
  5. Step 5: Solve for x
    x = 206,413,205,178.09/502,108.05
  6. Step 6: Final answer
    x = 411,093.20

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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.