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Finding the Fourth Proportional to 531,195.50, 733,049.80 and 292,731.50

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Solution

The fourth proportional to 531,195.50, 733,049.80 and 292,731.50 is: 403,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,195.50 : 733,049.80 = 292,731.50 : x
  2. Step 2: Convert to fraction form
    531,195.50/733,049.80 = 292,731.50/x
  3. Step 3: Cross multiply
    531,195.50x = 733,049.80 × 292,731.50
  4. Step 4: Simplify right side
    531,195.50x = 214,586,767,528.70
  5. Step 5: Solve for x
    x = 214,586,767,528.70/531,195.50
  6. Step 6: Final answer
    x = 403,969.48

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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.