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Finding the Fourth Proportional to 298,711.64, 412,221.84 and 164,575.64

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Solution

The fourth proportional to 298,711.64, 412,221.84 and 164,575.64 is: 227,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,711.64 : 412,221.84 = 164,575.64 : x
  2. Step 2: Convert to fraction form
    298,711.64/412,221.84 = 164,575.64/x
  3. Step 3: Cross multiply
    298,711.64x = 412,221.84 × 164,575.64
  4. Step 4: Simplify right side
    298,711.64x = 67,841,673,139.98
  5. Step 5: Solve for x
    x = 67,841,673,139.98/298,711.64
  6. Step 6: Final answer
    x = 227,114.26

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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.