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Finding the Fourth Proportional to 471,951.36, 651,285.36 and 257,094

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Solution

The fourth proportional to 471,951.36, 651,285.36 and 257,094 is: 354,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,951.36 : 651,285.36 = 257,094 : x
  2. Step 2: Convert to fraction form
    471,951.36/651,285.36 = 257,094/x
  3. Step 3: Cross multiply
    471,951.36x = 651,285.36 × 257,094
  4. Step 4: Simplify right side
    471,951.36x = 167,441,558,343.84
  5. Step 5: Solve for x
    x = 167,441,558,343.84/471,951.36
  6. Step 6: Final answer
    x = 354,785.63

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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.