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Finding the Fourth Proportional to 301,541.67, 416,128.08 and 174,217.37

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Solution

The fourth proportional to 301,541.67, 416,128.08 and 174,217.37 is: 240,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,541.67 : 416,128.08 = 174,217.37 : x
  2. Step 2: Convert to fraction form
    301,541.67/416,128.08 = 174,217.37/x
  3. Step 3: Cross multiply
    301,541.67x = 416,128.08 × 174,217.37
  4. Step 4: Simplify right side
    301,541.67x = 72,496,738,253.42
  5. Step 5: Solve for x
    x = 72,496,738,253.42/301,541.67
  6. Step 6: Final answer
    x = 240,420.30

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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.