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Finding the Fourth Proportional to 535,450.24, 738,908.46 and 293,730.64

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Solution

The fourth proportional to 535,450.24, 738,908.46 and 293,730.64 is: 405,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,450.24 : 738,908.46 = 293,730.64 : x
  2. Step 2: Convert to fraction form
    535,450.24/738,908.46 = 293,730.64/x
  3. Step 3: Cross multiply
    535,450.24x = 738,908.46 × 293,730.64
  4. Step 4: Simplify right side
    535,450.24x = 217,040,054,857.21
  5. Step 5: Solve for x
    x = 217,040,054,857.21/535,450.24
  6. Step 6: Final answer
    x = 405,341.22

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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.