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Finding the Fourth Proportional to 301,704.16, 416,258 and 174,333.28

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Solution

The fourth proportional to 301,704.16, 416,258 and 174,333.28 is: 240,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,704.16 : 416,258 = 174,333.28 : x
  2. Step 2: Convert to fraction form
    301,704.16/416,258 = 174,333.28/x
  3. Step 3: Cross multiply
    301,704.16x = 416,258 × 174,333.28
  4. Step 4: Simplify right side
    301,704.16x = 72,567,622,466.24
  5. Step 5: Solve for x
    x = 72,567,622,466.24/301,704.16
  6. Step 6: Final answer
    x = 240,525.76

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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.