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Finding the Fourth Proportional to 298,597.28, 412,064.22 and 164,461.28

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Solution

The fourth proportional to 298,597.28, 412,064.22 and 164,461.28 is: 226,956.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,597.28 : 412,064.22 = 164,461.28 : x
  2. Step 2: Convert to fraction form
    298,597.28/412,064.22 = 164,461.28/x
  3. Step 3: Cross multiply
    298,597.28x = 412,064.22 × 164,461.28
  4. Step 4: Simplify right side
    298,597.28x = 67,768,609,063.40
  5. Step 5: Solve for x
    x = 67,768,609,063.40/298,597.28
  6. Step 6: Final answer
    x = 226,956.55

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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.