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Finding the Fourth Proportional to 407,066.38, 610,475.19 and 281,513.50

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Solution

The fourth proportional to 407,066.38, 610,475.19 and 281,513.50 is: 422,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,066.38 : 610,475.19 = 281,513.50 : x
  2. Step 2: Convert to fraction form
    407,066.38/610,475.19 = 281,513.50/x
  3. Step 3: Cross multiply
    407,066.38x = 610,475.19 × 281,513.50
  4. Step 4: Simplify right side
    407,066.38x = 171,857,007,400.07
  5. Step 5: Solve for x
    x = 171,857,007,400.07/407,066.38
  6. Step 6: Final answer
    x = 422,184.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.