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Finding the Fourth Proportional to 665,477.83, 998,384.69 and 185,705.23

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Solution

The fourth proportional to 665,477.83, 998,384.69 and 185,705.23 is: 278,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,477.83 : 998,384.69 = 185,705.23 : x
  2. Step 2: Convert to fraction form
    665,477.83/998,384.69 = 185,705.23/x
  3. Step 3: Cross multiply
    665,477.83x = 998,384.69 × 185,705.23
  4. Step 4: Simplify right side
    665,477.83x = 185,405,255,756.84
  5. Step 5: Solve for x
    x = 185,405,255,756.84/665,477.83
  6. Step 6: Final answer
    x = 278,604.71

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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.