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Finding the Fourth Proportional to 298,700.75, 412,207.04 and 164,567.63

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Solution

The fourth proportional to 298,700.75, 412,207.04 and 164,567.63 is: 227,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,700.75 : 412,207.04 = 164,567.63 : x
  2. Step 2: Convert to fraction form
    298,700.75/412,207.04 = 164,567.63/x
  3. Step 3: Cross multiply
    298,700.75x = 412,207.04 × 164,567.63
  4. Step 4: Simplify right side
    298,700.75x = 67,835,934,819.28
  5. Step 5: Solve for x
    x = 67,835,934,819.28/298,700.75
  6. Step 6: Final answer
    x = 227,103.33

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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.