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Finding the Fourth Proportional to 531,230.82, 733,014.72 and 298,611.90

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Solution

The fourth proportional to 531,230.82, 733,014.72 and 298,611.90 is: 412,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,230.82 : 733,014.72 = 298,611.90 : x
  2. Step 2: Convert to fraction form
    531,230.82/733,014.72 = 298,611.90/x
  3. Step 3: Cross multiply
    531,230.82x = 733,014.72 × 298,611.90
  4. Step 4: Simplify right side
    531,230.82x = 218,886,918,267.17
  5. Step 5: Solve for x
    x = 218,886,918,267.17/531,230.82
  6. Step 6: Final answer
    x = 412,037.31

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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.