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Finding the Fourth Proportional to 456,274.19, 684,507.64 and 171,958.72

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Solution

The fourth proportional to 456,274.19, 684,507.64 and 171,958.72 is: 257,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,274.19 : 684,507.64 = 171,958.72 : x
  2. Step 2: Convert to fraction form
    456,274.19/684,507.64 = 171,958.72/x
  3. Step 3: Cross multiply
    456,274.19x = 684,507.64 × 171,958.72
  4. Step 4: Simplify right side
    456,274.19x = 117,707,056,108.30
  5. Step 5: Solve for x
    x = 117,707,056,108.30/456,274.19
  6. Step 6: Final answer
    x = 257,974.39

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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.