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Finding the Fourth Proportional to 275,746.40, 413,619.60 and 205,762.40

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Solution

The fourth proportional to 275,746.40, 413,619.60 and 205,762.40 is: 308,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,746.40 : 413,619.60 = 205,762.40 : x
  2. Step 2: Convert to fraction form
    275,746.40/413,619.60 = 205,762.40/x
  3. Step 3: Cross multiply
    275,746.40x = 413,619.60 × 205,762.40
  4. Step 4: Simplify right side
    275,746.40x = 85,107,361,583.04
  5. Step 5: Solve for x
    x = 85,107,361,583.04/275,746.40
  6. Step 6: Final answer
    x = 308,643.60

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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.