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Finding the Fourth Proportional to 299,624.68, 413,467.62 and 165,485.80

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Solution

The fourth proportional to 299,624.68, 413,467.62 and 165,485.80 is: 228,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,624.68 : 413,467.62 = 165,485.80 : x
  2. Step 2: Convert to fraction form
    299,624.68/413,467.62 = 165,485.80/x
  3. Step 3: Cross multiply
    299,624.68x = 413,467.62 × 165,485.80
  4. Step 4: Simplify right side
    299,624.68x = 68,423,019,869.80
  5. Step 5: Solve for x
    x = 68,423,019,869.80/299,624.68
  6. Step 6: Final answer
    x = 228,362.43

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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.