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Finding the Fourth Proportional to 407,287.22, 610,136.15 and 266,619.38

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Solution

The fourth proportional to 407,287.22, 610,136.15 and 266,619.38 is: 399,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,287.22 : 610,136.15 = 266,619.38 : x
  2. Step 2: Convert to fraction form
    407,287.22/610,136.15 = 266,619.38/x
  3. Step 3: Cross multiply
    407,287.22x = 610,136.15 × 266,619.38
  4. Step 4: Simplify right side
    407,287.22x = 162,674,117,644.81
  5. Step 5: Solve for x
    x = 162,674,117,644.81/407,287.22
  6. Step 6: Final answer
    x = 399,408.85

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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.