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Finding the Fourth Proportional to 471,370.24, 707,055.36 and 274,240

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Solution

The fourth proportional to 471,370.24, 707,055.36 and 274,240 is: 411,360

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,370.24 : 707,055.36 = 274,240 : x
  2. Step 2: Convert to fraction form
    471,370.24/707,055.36 = 274,240/x
  3. Step 3: Cross multiply
    471,370.24x = 707,055.36 × 274,240
  4. Step 4: Simplify right side
    471,370.24x = 193,902,861,926.40
  5. Step 5: Solve for x
    x = 193,902,861,926.40/471,370.24
  6. Step 6: Final answer
    x = 411,360

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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.