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Finding the Fourth Proportional to 301,870.34, 416,553.96 and 165,902.80

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Solution

The fourth proportional to 301,870.34, 416,553.96 and 165,902.80 is: 228,930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,870.34 : 416,553.96 = 165,902.80 : x
  2. Step 2: Convert to fraction form
    301,870.34/416,553.96 = 165,902.80/x
  3. Step 3: Cross multiply
    301,870.34x = 416,553.96 × 165,902.80
  4. Step 4: Simplify right side
    301,870.34x = 69,107,468,315.09
  5. Step 5: Solve for x
    x = 69,107,468,315.09/301,870.34
  6. Step 6: Final answer
    x = 228,930.97

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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.