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Finding the Fourth Proportional to 495,969.60, 743,533.84 and 196,661.60

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Solution

The fourth proportional to 495,969.60, 743,533.84 and 196,661.60 is: 294,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,969.60 : 743,533.84 = 196,661.60 : x
  2. Step 2: Convert to fraction form
    495,969.60/743,533.84 = 196,661.60/x
  3. Step 3: Cross multiply
    495,969.60x = 743,533.84 × 196,661.60
  4. Step 4: Simplify right side
    495,969.60x = 146,224,554,628.54
  5. Step 5: Solve for x
    x = 146,224,554,628.54/495,969.60
  6. Step 6: Final answer
    x = 294,825.64

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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.