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Finding the Fourth Proportional to 431,674.14, 647,116.74 and 151,038.30

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Solution

The fourth proportional to 431,674.14, 647,116.74 and 151,038.30 is: 226,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,674.14 : 647,116.74 = 151,038.30 : x
  2. Step 2: Convert to fraction form
    431,674.14/647,116.74 = 151,038.30/x
  3. Step 3: Cross multiply
    431,674.14x = 647,116.74 × 151,038.30
  4. Step 4: Simplify right side
    431,674.14x = 97,739,412,311.14
  5. Step 5: Solve for x
    x = 97,739,412,311.14/431,674.14
  6. Step 6: Final answer
    x = 226,419.43

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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.