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Finding the Fourth Proportional to 510,652.82, 704,738.36 and 365,472.24

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Solution

The fourth proportional to 510,652.82, 704,738.36 and 365,472.24 is: 504,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,652.82 : 704,738.36 = 365,472.24 : x
  2. Step 2: Convert to fraction form
    510,652.82/704,738.36 = 365,472.24/x
  3. Step 3: Cross multiply
    510,652.82x = 704,738.36 × 365,472.24
  4. Step 4: Simplify right side
    510,652.82x = 257,562,303,258.26
  5. Step 5: Solve for x
    x = 257,562,303,258.26/510,652.82
  6. Step 6: Final answer
    x = 504,378.50

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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.