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Finding the Fourth Proportional to 299,620.33, 413,473.59 and 163,654.36

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Solution

The fourth proportional to 299,620.33, 413,473.59 and 163,654.36 is: 225,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,620.33 : 413,473.59 = 163,654.36 : x
  2. Step 2: Convert to fraction form
    299,620.33/413,473.59 = 163,654.36/x
  3. Step 3: Cross multiply
    299,620.33x = 413,473.59 × 163,654.36
  4. Step 4: Simplify right side
    299,620.33x = 67,666,756,157.49
  5. Step 5: Solve for x
    x = 67,666,756,157.49/299,620.33
  6. Step 6: Final answer
    x = 225,841.67

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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.