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Finding the Fourth Proportional to 495,843.24, 743,328.64 and 196,533.91

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Solution

The fourth proportional to 495,843.24, 743,328.64 and 196,533.91 is: 294,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,843.24 : 743,328.64 = 196,533.91 : x
  2. Step 2: Convert to fraction form
    495,843.24/743,328.64 = 196,533.91/x
  3. Step 3: Cross multiply
    495,843.24x = 743,328.64 × 196,533.91
  4. Step 4: Simplify right side
    495,843.24x = 146,089,284,034.18
  5. Step 5: Solve for x
    x = 146,089,284,034.18/495,843.24
  6. Step 6: Final answer
    x = 294,627.96

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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.