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Finding the Fourth Proportional to 307,470.30, 461,205.45 and 265,998.30

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Solution

The fourth proportional to 307,470.30, 461,205.45 and 265,998.30 is: 398,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,470.30 : 461,205.45 = 265,998.30 : x
  2. Step 2: Convert to fraction form
    307,470.30/461,205.45 = 265,998.30/x
  3. Step 3: Cross multiply
    307,470.30x = 461,205.45 × 265,998.30
  4. Step 4: Simplify right side
    307,470.30x = 122,679,865,650.74
  5. Step 5: Solve for x
    x = 122,679,865,650.74/307,470.30
  6. Step 6: Final answer
    x = 398,997.45

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Similar ratio
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1.5x scale

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.