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Finding the Fourth Proportional to 832,608.11, 1,149,027.05 and 510,255.95

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Solution

The fourth proportional to 832,608.11, 1,149,027.05 and 510,255.95 is: 704,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,608.11 : 1,149,027.05 = 510,255.95 : x
  2. Step 2: Convert to fraction form
    832,608.11/1,149,027.05 = 510,255.95/x
  3. Step 3: Cross multiply
    832,608.11x = 1,149,027.05 × 510,255.95
  4. Step 4: Simplify right side
    832,608.11x = 586,297,886,422.17
  5. Step 5: Solve for x
    x = 586,297,886,422.17/832,608.11
  6. Step 6: Final answer
    x = 704,170.28

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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.