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Finding the Fourth Proportional to 301,651.20, 416,232.24 and 174,302.16

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Solution

The fourth proportional to 301,651.20, 416,232.24 and 174,302.16 is: 240,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,651.20 : 416,232.24 = 174,302.16 : x
  2. Step 2: Convert to fraction form
    301,651.20/416,232.24 = 174,302.16/x
  3. Step 3: Cross multiply
    301,651.20x = 416,232.24 × 174,302.16
  4. Step 4: Simplify right side
    301,651.20x = 72,550,178,493.64
  5. Step 5: Solve for x
    x = 72,550,178,493.64/301,651.20
  6. Step 6: Final answer
    x = 240,510.16

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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.