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Finding the Fourth Proportional to 461,015.82, 635,804.10 and 299,812.32

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Solution

The fourth proportional to 461,015.82, 635,804.10 and 299,812.32 is: 413,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,015.82 : 635,804.10 = 299,812.32 : x
  2. Step 2: Convert to fraction form
    461,015.82/635,804.10 = 299,812.32/x
  3. Step 3: Cross multiply
    461,015.82x = 635,804.10 × 299,812.32
  4. Step 4: Simplify right side
    461,015.82x = 190,621,902,286.51
  5. Step 5: Solve for x
    x = 190,621,902,286.51/461,015.82
  6. Step 6: Final answer
    x = 413,482.34

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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.