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Finding the Fourth Proportional to 408,858.07, 613,243.96 and 109,368.87

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Solution

The fourth proportional to 408,858.07, 613,243.96 and 109,368.87 is: 164,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,858.07 : 613,243.96 = 109,368.87 : x
  2. Step 2: Convert to fraction form
    408,858.07/613,243.96 = 109,368.87/x
  3. Step 3: Cross multiply
    408,858.07x = 613,243.96 × 109,368.87
  4. Step 4: Simplify right side
    408,858.07x = 67,069,798,939.53
  5. Step 5: Solve for x
    x = 67,069,798,939.53/408,858.07
  6. Step 6: Final answer
    x = 164,041.76

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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.