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Finding the Fourth Proportional to 298,672.20, 412,167.63 and 164,536.20

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Solution

The fourth proportional to 298,672.20, 412,167.63 and 164,536.20 is: 227,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,672.20 : 412,167.63 = 164,536.20 : x
  2. Step 2: Convert to fraction form
    298,672.20/412,167.63 = 164,536.20/x
  3. Step 3: Cross multiply
    298,672.20x = 412,167.63 × 164,536.20
  4. Step 4: Simplify right side
    298,672.20x = 67,816,495,603.21
  5. Step 5: Solve for x
    x = 67,816,495,603.21/298,672.20
  6. Step 6: Final answer
    x = 227,059.95

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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.