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Finding the Fourth Proportional to 490,384.60, 735,576.90 and 174,727.60

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Solution

The fourth proportional to 490,384.60, 735,576.90 and 174,727.60 is: 262,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,384.60 : 735,576.90 = 174,727.60 : x
  2. Step 2: Convert to fraction form
    490,384.60/735,576.90 = 174,727.60/x
  3. Step 3: Cross multiply
    490,384.60x = 735,576.90 × 174,727.60
  4. Step 4: Simplify right side
    490,384.60x = 128,525,586,352.44
  5. Step 5: Solve for x
    x = 128,525,586,352.44/490,384.60
  6. Step 6: Final answer
    x = 262,091.40

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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.