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Finding the Fourth Proportional to 493,994.32, 741,054.28 and 156,914.72

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Solution

The fourth proportional to 493,994.32, 741,054.28 and 156,914.72 is: 235,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,994.32 : 741,054.28 = 156,914.72 : x
  2. Step 2: Convert to fraction form
    493,994.32/741,054.28 = 156,914.72/x
  3. Step 3: Cross multiply
    493,994.32x = 741,054.28 × 156,914.72
  4. Step 4: Simplify right side
    493,994.32x = 116,282,324,851.00
  5. Step 5: Solve for x
    x = 116,282,324,851.00/493,994.32
  6. Step 6: Final answer
    x = 235,392.03

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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.