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Finding the Fourth Proportional to 485,634.80, 727,674.60 and 307,823.60

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Solution

The fourth proportional to 485,634.80, 727,674.60 and 307,823.60 is: 461,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,634.80 : 727,674.60 = 307,823.60 : x
  2. Step 2: Convert to fraction form
    485,634.80/727,674.60 = 307,823.60/x
  3. Step 3: Cross multiply
    485,634.80x = 727,674.60 × 307,823.60
  4. Step 4: Simplify right side
    485,634.80x = 223,995,415,000.56
  5. Step 5: Solve for x
    x = 223,995,415,000.56/485,634.80
  6. Step 6: Final answer
    x = 461,242.51

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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.