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Finding the Fourth Proportional to 474,896.34, 711,213.75 and 274,795.02

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Solution

The fourth proportional to 474,896.34, 711,213.75 and 274,795.02 is: 411,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,896.34 : 711,213.75 = 274,795.02 : x
  2. Step 2: Convert to fraction form
    474,896.34/711,213.75 = 274,795.02/x
  3. Step 3: Cross multiply
    474,896.34x = 711,213.75 × 274,795.02
  4. Step 4: Simplify right side
    474,896.34x = 195,437,996,655.53
  5. Step 5: Solve for x
    x = 195,437,996,655.53/474,896.34
  6. Step 6: Final answer
    x = 411,538.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.