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Finding the Fourth Proportional to 290,609.46, 435,918.62 and 110,704.86

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Solution

The fourth proportional to 290,609.46, 435,918.62 and 110,704.86 is: 166,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,609.46 : 435,918.62 = 110,704.86 : x
  2. Step 2: Convert to fraction form
    290,609.46/435,918.62 = 110,704.86/x
  3. Step 3: Cross multiply
    290,609.46x = 435,918.62 × 110,704.86
  4. Step 4: Simplify right side
    290,609.46x = 48,258,309,798.49
  5. Step 5: Solve for x
    x = 48,258,309,798.49/290,609.46
  6. Step 6: Final answer
    x = 166,058.98

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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.