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Finding the Fourth Proportional to 301,403.47, 415,942.16 and 165,450.07

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Solution

The fourth proportional to 301,403.47, 415,942.16 and 165,450.07 is: 228,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,403.47 : 415,942.16 = 165,450.07 : x
  2. Step 2: Convert to fraction form
    301,403.47/415,942.16 = 165,450.07/x
  3. Step 3: Cross multiply
    301,403.47x = 415,942.16 × 165,450.07
  4. Step 4: Simplify right side
    301,403.47x = 68,817,658,861.72
  5. Step 5: Solve for x
    x = 68,817,658,861.72/301,403.47
  6. Step 6: Final answer
    x = 228,324.04

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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.