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Finding the Fourth Proportional to 510,529.85, 704,749.25 and 363,449.66

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Solution

The fourth proportional to 510,529.85, 704,749.25 and 363,449.66 is: 501,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,529.85 : 704,749.25 = 363,449.66 : x
  2. Step 2: Convert to fraction form
    510,529.85/704,749.25 = 363,449.66/x
  3. Step 3: Cross multiply
    510,529.85x = 704,749.25 × 363,449.66
  4. Step 4: Simplify right side
    510,529.85x = 256,140,869,956.76
  5. Step 5: Solve for x
    x = 256,140,869,956.76/510,529.85
  6. Step 6: Final answer
    x = 501,715.76

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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.