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Finding the Fourth Proportional to 531,211.50, 733,071.89 and 292,747.50

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Solution

The fourth proportional to 531,211.50, 733,071.89 and 292,747.50 is: 403,991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,211.50 : 733,071.89 = 292,747.50 : x
  2. Step 2: Convert to fraction form
    531,211.50/733,071.89 = 292,747.50/x
  3. Step 3: Cross multiply
    531,211.50x = 733,071.89 × 292,747.50
  4. Step 4: Simplify right side
    531,211.50x = 214,604,961,654.04
  5. Step 5: Solve for x
    x = 214,604,961,654.04/531,211.50
  6. Step 6: Final answer
    x = 403,991.56

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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.