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Finding the Fourth Proportional to 508,462.92, 701,687.01 and 293,621.76

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Solution

The fourth proportional to 508,462.92, 701,687.01 and 293,621.76 is: 405,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,462.92 : 701,687.01 = 293,621.76 : x
  2. Step 2: Convert to fraction form
    508,462.92/701,687.01 = 293,621.76/x
  3. Step 3: Cross multiply
    508,462.92x = 701,687.01 × 293,621.76
  4. Step 4: Simplify right side
    508,462.92x = 206,030,574,845.34
  5. Step 5: Solve for x
    x = 206,030,574,845.34/508,462.92
  6. Step 6: Final answer
    x = 405,202.75

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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.