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Finding the Fourth Proportional to 558,916.30, 771,302.22 and 313,867

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Solution

The fourth proportional to 558,916.30, 771,302.22 and 313,867 is: 433,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,916.30 : 771,302.22 = 313,867 : x
  2. Step 2: Convert to fraction form
    558,916.30/771,302.22 = 313,867/x
  3. Step 3: Cross multiply
    558,916.30x = 771,302.22 × 313,867
  4. Step 4: Simplify right side
    558,916.30x = 242,086,313,884.74
  5. Step 5: Solve for x
    x = 242,086,313,884.74/558,916.30
  6. Step 6: Final answer
    x = 433,135.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.