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Finding the Fourth Proportional to 290,523.80, 435,785.70 and 103,467.80

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Solution

The fourth proportional to 290,523.80, 435,785.70 and 103,467.80 is: 155,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,523.80 : 435,785.70 = 103,467.80 : x
  2. Step 2: Convert to fraction form
    290,523.80/435,785.70 = 103,467.80/x
  3. Step 3: Cross multiply
    290,523.80x = 435,785.70 × 103,467.80
  4. Step 4: Simplify right side
    290,523.80x = 45,089,787,650.46
  5. Step 5: Solve for x
    x = 45,089,787,650.46/290,523.80
  6. Step 6: Final answer
    x = 155,201.70

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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.