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Finding the Fourth Proportional to 298,415.53, 411,812.26 and 162,457.03

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Solution

The fourth proportional to 298,415.53, 411,812.26 and 162,457.03 is: 224,190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,415.53 : 411,812.26 = 162,457.03 : x
  2. Step 2: Convert to fraction form
    298,415.53/411,812.26 = 162,457.03/x
  3. Step 3: Cross multiply
    298,415.53x = 411,812.26 × 162,457.03
  4. Step 4: Simplify right side
    298,415.53x = 66,901,796,677.19
  5. Step 5: Solve for x
    x = 66,901,796,677.19/298,415.53
  6. Step 6: Final answer
    x = 224,190.06

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