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Finding the Fourth Proportional to 431,509.68, 643,969.44 and 384,270.48

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Solution

The fourth proportional to 431,509.68, 643,969.44 and 384,270.48 is: 573,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,509.68 : 643,969.44 = 384,270.48 : x
  2. Step 2: Convert to fraction form
    431,509.68/643,969.44 = 384,270.48/x
  3. Step 3: Cross multiply
    431,509.68x = 643,969.44 × 384,270.48
  4. Step 4: Simplify right side
    431,509.68x = 247,458,445,814.13
  5. Step 5: Solve for x
    x = 247,458,445,814.13/431,509.68
  6. Step 6: Final answer
    x = 573,471.37

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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.