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Finding the Fourth Proportional to 397,651.02, 596,250.63 and 271,444.11

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Solution

The fourth proportional to 397,651.02, 596,250.63 and 271,444.11 is: 407,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,651.02 : 596,250.63 = 271,444.11 : x
  2. Step 2: Convert to fraction form
    397,651.02/596,250.63 = 271,444.11/x
  3. Step 3: Cross multiply
    397,651.02x = 596,250.63 × 271,444.11
  4. Step 4: Simplify right side
    397,651.02x = 161,848,721,597.29
  5. Step 5: Solve for x
    x = 161,848,721,597.29/397,651.02
  6. Step 6: Final answer
    x = 407,011.96

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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.