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Finding the Fourth Proportional to 471,931.44, 651,245.43 and 257,073.27

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Solution

The fourth proportional to 471,931.44, 651,245.43 and 257,073.27 is: 354,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,931.44 : 651,245.43 = 257,073.27 : x
  2. Step 2: Convert to fraction form
    471,931.44/651,245.43 = 257,073.27/x
  3. Step 3: Cross multiply
    471,931.44x = 651,245.43 × 257,073.27
  4. Step 4: Simplify right side
    471,931.44x = 167,417,792,262.66
  5. Step 5: Solve for x
    x = 167,417,792,262.66/471,931.44
  6. Step 6: Final answer
    x = 354,750.24

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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.