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Finding the Fourth Proportional to 407,784.15, 562,515.17 and 378,918.18

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Solution

The fourth proportional to 407,784.15, 562,515.17 and 378,918.18 is: 522,696.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,784.15 : 562,515.17 = 378,918.18 : x
  2. Step 2: Convert to fraction form
    407,784.15/562,515.17 = 378,918.18/x
  3. Step 3: Cross multiply
    407,784.15x = 562,515.17 × 378,918.18
  4. Step 4: Simplify right side
    407,784.15x = 213,147,222,544.20
  5. Step 5: Solve for x
    x = 213,147,222,544.20/407,784.15
  6. Step 6: Final answer
    x = 522,696.19

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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.