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Finding the Fourth Proportional to 642,642.16, 886,846.23 and 356,180.70

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Solution

The fourth proportional to 642,642.16, 886,846.23 and 356,180.70 is: 491,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,642.16 : 886,846.23 = 356,180.70 : x
  2. Step 2: Convert to fraction form
    642,642.16/886,846.23 = 356,180.70/x
  3. Step 3: Cross multiply
    642,642.16x = 886,846.23 × 356,180.70
  4. Step 4: Simplify right side
    642,642.16x = 315,877,510,993.76
  5. Step 5: Solve for x
    x = 315,877,510,993.76/642,642.16
  6. Step 6: Final answer
    x = 491,529.39

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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.