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Finding the Fourth Proportional to 713,953.69, 985,183.09 and 427,466.41

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Solution

The fourth proportional to 713,953.69, 985,183.09 and 427,466.41 is: 589,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,953.69 : 985,183.09 = 427,466.41 : x
  2. Step 2: Convert to fraction form
    713,953.69/985,183.09 = 427,466.41/x
  3. Step 3: Cross multiply
    713,953.69x = 985,183.09 × 427,466.41
  4. Step 4: Simplify right side
    713,953.69x = 421,132,678,675.01
  5. Step 5: Solve for x
    x = 421,132,678,675.01/713,953.69
  6. Step 6: Final answer
    x = 589,859.94

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Why These Related Problems?

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