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Finding the Fourth Proportional to 299,624.84, 413,484.42 and 165,488.84

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Solution

The fourth proportional to 299,624.84, 413,484.42 and 165,488.84 is: 228,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,624.84 : 413,484.42 = 165,488.84 : x
  2. Step 2: Convert to fraction form
    299,624.84/413,484.42 = 165,488.84/x
  3. Step 3: Cross multiply
    299,624.84x = 413,484.42 × 165,488.84
  4. Step 4: Simplify right side
    299,624.84x = 68,427,057,023.87
  5. Step 5: Solve for x
    x = 68,427,057,023.87/299,624.84
  6. Step 6: Final answer
    x = 228,375.78

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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.