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Finding the Fourth Proportional to 415,041.40, 622,562.10 and 378,299.80

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Solution

The fourth proportional to 415,041.40, 622,562.10 and 378,299.80 is: 567,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,041.40 : 622,562.10 = 378,299.80 : x
  2. Step 2: Convert to fraction form
    415,041.40/622,562.10 = 378,299.80/x
  3. Step 3: Cross multiply
    415,041.40x = 622,562.10 × 378,299.80
  4. Step 4: Simplify right side
    415,041.40x = 235,515,117,917.58
  5. Step 5: Solve for x
    x = 235,515,117,917.58/415,041.40
  6. Step 6: Final answer
    x = 567,449.70

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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.