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Finding the Fourth Proportional to 599,045.83, 825,278.42 and 417,428.24

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Solution

The fourth proportional to 599,045.83, 825,278.42 and 417,428.24 is: 575,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,045.83 : 825,278.42 = 417,428.24 : x
  2. Step 2: Convert to fraction form
    599,045.83/825,278.42 = 417,428.24/x
  3. Step 3: Cross multiply
    599,045.83x = 825,278.42 × 417,428.24
  4. Step 4: Simplify right side
    599,045.83x = 344,494,515,287.76
  5. Step 5: Solve for x
    x = 344,494,515,287.76/599,045.83
  6. Step 6: Final answer
    x = 575,072.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.