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Finding the Fourth Proportional to 307,471.80, 461,207.70 and 265,999.80

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Solution

The fourth proportional to 307,471.80, 461,207.70 and 265,999.80 is: 398,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,471.80 : 461,207.70 = 265,999.80 : x
  2. Step 2: Convert to fraction form
    307,471.80/461,207.70 = 265,999.80/x
  3. Step 3: Cross multiply
    307,471.80x = 461,207.70 × 265,999.80
  4. Step 4: Simplify right side
    307,471.80x = 122,681,155,958.46
  5. Step 5: Solve for x
    x = 122,681,155,958.46/307,471.80
  6. Step 6: Final answer
    x = 398,999.70

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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.