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Finding the Fourth Proportional to 354,498.40, 531,747.60 and 310,211.65

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Solution

The fourth proportional to 354,498.40, 531,747.60 and 310,211.65 is: 465,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,498.40 : 531,747.60 = 310,211.65 : x
  2. Step 2: Convert to fraction form
    354,498.40/531,747.60 = 310,211.65/x
  3. Step 3: Cross multiply
    354,498.40x = 531,747.60 × 310,211.65
  4. Step 4: Simplify right side
    354,498.40x = 164,954,300,379.54
  5. Step 5: Solve for x
    x = 164,954,300,379.54/354,498.40
  6. Step 6: Final answer
    x = 465,317.48

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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.