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Finding the Fourth Proportional to 698,505.36, 964,053.36 and 412,095.84

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Solution

The fourth proportional to 698,505.36, 964,053.36 and 412,095.84 is: 568,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,505.36 : 964,053.36 = 412,095.84 : x
  2. Step 2: Convert to fraction form
    698,505.36/964,053.36 = 412,095.84/x
  3. Step 3: Cross multiply
    698,505.36x = 964,053.36 × 412,095.84
  4. Step 4: Simplify right side
    698,505.36x = 397,282,379,194.02
  5. Step 5: Solve for x
    x = 397,282,379,194.02/698,505.36
  6. Step 6: Final answer
    x = 568,760.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.