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Finding the Fourth Proportional to 647,164.56, 971,184.16 and 226,444.08

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Solution

The fourth proportional to 647,164.56, 971,184.16 and 226,444.08 is: 339,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,164.56 : 971,184.16 = 226,444.08 : x
  2. Step 2: Convert to fraction form
    647,164.56/971,184.16 = 226,444.08/x
  3. Step 3: Cross multiply
    647,164.56x = 971,184.16 × 226,444.08
  4. Step 4: Simplify right side
    647,164.56x = 219,918,903,621.77
  5. Step 5: Solve for x
    x = 219,918,903,621.77/647,164.56
  6. Step 6: Final answer
    x = 339,819.14

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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.