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Finding the Fourth Proportional to 510,992.03, 705,184.98 and 293,240.54

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Solution

The fourth proportional to 510,992.03, 705,184.98 and 293,240.54 is: 404,681.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,992.03 : 705,184.98 = 293,240.54 : x
  2. Step 2: Convert to fraction form
    510,992.03/705,184.98 = 293,240.54/x
  3. Step 3: Cross multiply
    510,992.03x = 705,184.98 × 293,240.54
  4. Step 4: Simplify right side
    510,992.03x = 206,788,825,450.03
  5. Step 5: Solve for x
    x = 206,788,825,450.03/510,992.03
  6. Step 6: Final answer
    x = 404,681.12

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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.