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Finding the Fourth Proportional to 419,071.69, 625,090.93 and 384,682.33

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Solution

The fourth proportional to 419,071.69, 625,090.93 and 384,682.33 is: 573,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,071.69 : 625,090.93 = 384,682.33 : x
  2. Step 2: Convert to fraction form
    419,071.69/625,090.93 = 384,682.33/x
  3. Step 3: Cross multiply
    419,071.69x = 625,090.93 × 384,682.33
  4. Step 4: Simplify right side
    419,071.69x = 240,461,435,414.27
  5. Step 5: Solve for x
    x = 240,461,435,414.27/419,071.69
  6. Step 6: Final answer
    x = 573,795.47

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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.