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Finding the Fourth Proportional to 407,644.84, 611,563.83 and 400,866.94

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Solution

The fourth proportional to 407,644.84, 611,563.83 and 400,866.94 is: 601,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,644.84 : 611,563.83 = 400,866.94 : x
  2. Step 2: Convert to fraction form
    407,644.84/611,563.83 = 400,866.94/x
  3. Step 3: Cross multiply
    407,644.84x = 611,563.83 × 400,866.94
  4. Step 4: Simplify right side
    407,644.84x = 245,155,721,146.78
  5. Step 5: Solve for x
    x = 245,155,721,146.78/407,644.84
  6. Step 6: Final answer
    x = 601,395.37

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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.