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Finding the Fourth Proportional to 535,647.98, 739,192.16 and 293,934.60

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Solution

The fourth proportional to 535,647.98, 739,192.16 and 293,934.60 is: 405,628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,647.98 : 739,192.16 = 293,934.60 : x
  2. Step 2: Convert to fraction form
    535,647.98/739,192.16 = 293,934.60/x
  3. Step 3: Cross multiply
    535,647.98x = 739,192.16 × 293,934.60
  4. Step 4: Simplify right side
    535,647.98x = 217,274,151,872.74
  5. Step 5: Solve for x
    x = 217,274,151,872.74/535,647.98
  6. Step 6: Final answer
    x = 405,628.62

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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.