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Finding the Fourth Proportional to 767,241, 1,150,813.30 and 234,719.72

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Solution

The fourth proportional to 767,241, 1,150,813.30 and 234,719.72 is: 352,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,241 : 1,150,813.30 = 234,719.72 : x
  2. Step 2: Convert to fraction form
    767,241/1,150,813.30 = 234,719.72/x
  3. Step 3: Cross multiply
    767,241x = 1,150,813.30 × 234,719.72
  4. Step 4: Simplify right side
    767,241x = 270,118,575,548.28
  5. Step 5: Solve for x
    x = 270,118,575,548.28/767,241
  6. Step 6: Final answer
    x = 352,064.83

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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.