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Finding the Fourth Proportional to 379,577.08, 523,762.84 and 216,237.88

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Solution

The fourth proportional to 379,577.08, 523,762.84 and 216,237.88 is: 298,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,577.08 : 523,762.84 = 216,237.88 : x
  2. Step 2: Convert to fraction form
    379,577.08/523,762.84 = 216,237.88/x
  3. Step 3: Cross multiply
    379,577.08x = 523,762.84 × 216,237.88
  4. Step 4: Simplify right side
    379,577.08x = 113,257,366,144.38
  5. Step 5: Solve for x
    x = 113,257,366,144.38/379,577.08
  6. Step 6: Final answer
    x = 298,377.78

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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.