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Finding the Fourth Proportional to 302,608.56, 454,193.16 and 152,954.64

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Solution

The fourth proportional to 302,608.56, 454,193.16 and 152,954.64 is: 229,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,608.56 : 454,193.16 = 152,954.64 : x
  2. Step 2: Convert to fraction form
    302,608.56/454,193.16 = 152,954.64/x
  3. Step 3: Cross multiply
    302,608.56x = 454,193.16 × 152,954.64
  4. Step 4: Simplify right side
    302,608.56x = 69,470,951,278.26
  5. Step 5: Solve for x
    x = 69,470,951,278.26/302,608.56
  6. Step 6: Final answer
    x = 229,573.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.