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Finding the Fourth Proportional to 298,560.39, 412,013.31 and 164,424.39

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Solution

The fourth proportional to 298,560.39, 412,013.31 and 164,424.39 is: 226,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,560.39 : 412,013.31 = 164,424.39 : x
  2. Step 2: Convert to fraction form
    298,560.39/412,013.31 = 164,424.39/x
  3. Step 3: Cross multiply
    298,560.39x = 412,013.31 × 164,424.39
  4. Step 4: Simplify right side
    298,560.39x = 67,745,037,168.63
  5. Step 5: Solve for x
    x = 67,745,037,168.63/298,560.39
  6. Step 6: Final answer
    x = 226,905.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.