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Finding the Fourth Proportional to 417,250.80, 622,368.45 and 378,938.16

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Solution

The fourth proportional to 417,250.80, 622,368.45 and 378,938.16 is: 565,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,250.80 : 622,368.45 = 378,938.16 : x
  2. Step 2: Convert to fraction form
    417,250.80/622,368.45 = 378,938.16/x
  3. Step 3: Cross multiply
    417,250.80x = 622,368.45 × 378,938.16
  4. Step 4: Simplify right side
    417,250.80x = 235,839,155,285.05
  5. Step 5: Solve for x
    x = 235,839,155,285.05/417,250.80
  6. Step 6: Final answer
    x = 565,221.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.