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Finding the Fourth Proportional to 413,620.74, 570,708.08 and 241,460.57

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Solution

The fourth proportional to 413,620.74, 570,708.08 and 241,460.57 is: 333,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,620.74 : 570,708.08 = 241,460.57 : x
  2. Step 2: Convert to fraction form
    413,620.74/570,708.08 = 241,460.57/x
  3. Step 3: Cross multiply
    413,620.74x = 570,708.08 × 241,460.57
  4. Step 4: Simplify right side
    413,620.74x = 137,803,494,239.56
  5. Step 5: Solve for x
    x = 137,803,494,239.56/413,620.74
  6. Step 6: Final answer
    x = 333,163.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.