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Finding the Fourth Proportional to 767,808.85, 1,151,713.05 and 412,333.87

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Solution

The fourth proportional to 767,808.85, 1,151,713.05 and 412,333.87 is: 618,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,808.85 : 1,151,713.05 = 412,333.87 : x
  2. Step 2: Convert to fraction form
    767,808.85/1,151,713.05 = 412,333.87/x
  3. Step 3: Cross multiply
    767,808.85x = 1,151,713.05 × 412,333.87
  4. Step 4: Simplify right side
    767,808.85x = 474,890,299,036.00
  5. Step 5: Solve for x
    x = 474,890,299,036.00/767,808.85
  6. Step 6: Final answer
    x = 618,500.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.