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Finding the Fourth Proportional to 441,858.74, 609,571.05 and 298,566.50

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Solution

The fourth proportional to 441,858.74, 609,571.05 and 298,566.50 is: 411,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,858.74 : 609,571.05 = 298,566.50 : x
  2. Step 2: Convert to fraction form
    441,858.74/609,571.05 = 298,566.50/x
  3. Step 3: Cross multiply
    441,858.74x = 609,571.05 × 298,566.50
  4. Step 4: Simplify right side
    441,858.74x = 181,997,494,899.83
  5. Step 5: Solve for x
    x = 181,997,494,899.83/441,858.74
  6. Step 6: Final answer
    x = 411,890.68

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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.