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Finding the Fourth Proportional to 348,424.30, 480,834.93 and 205,157.98

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Solution

The fourth proportional to 348,424.30, 480,834.93 and 205,157.98 is: 283,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,424.30 : 480,834.93 = 205,157.98 : x
  2. Step 2: Convert to fraction form
    348,424.30/480,834.93 = 205,157.98/x
  3. Step 3: Cross multiply
    348,424.30x = 480,834.93 × 205,157.98
  4. Step 4: Simplify right side
    348,424.30x = 98,647,122,952.24
  5. Step 5: Solve for x
    x = 98,647,122,952.24/348,424.30
  6. Step 6: Final answer
    x = 283,123.54

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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.