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Finding the Fourth Proportional to 407,010, 610,516.08 and 126,527.52

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Solution

The fourth proportional to 407,010, 610,516.08 and 126,527.52 is: 189,791.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,010 : 610,516.08 = 126,527.52 : x
  2. Step 2: Convert to fraction form
    407,010/610,516.08 = 126,527.52/x
  3. Step 3: Cross multiply
    407,010x = 610,516.08 × 126,527.52
  4. Step 4: Simplify right side
    407,010x = 77,247,085,522.52
  5. Step 5: Solve for x
    x = 77,247,085,522.52/407,010
  6. Step 6: Final answer
    x = 189,791.62

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Why These Related Problems?

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