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Finding the Fourth Proportional to 511,443.77, 767,137.82 and 156,457.78

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Solution

The fourth proportional to 511,443.77, 767,137.82 and 156,457.78 is: 234,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,443.77 : 767,137.82 = 156,457.78 : x
  2. Step 2: Convert to fraction form
    511,443.77/767,137.82 = 156,457.78/x
  3. Step 3: Cross multiply
    511,443.77x = 767,137.82 × 156,457.78
  4. Step 4: Simplify right side
    511,443.77x = 120,024,682,766.33
  5. Step 5: Solve for x
    x = 120,024,682,766.33/511,443.77
  6. Step 6: Final answer
    x = 234,678.16

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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.