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Finding the Fourth Proportional to 471,893.76, 651,214.32 and 257,033.16

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Solution

The fourth proportional to 471,893.76, 651,214.32 and 257,033.16 is: 354,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,893.76 : 651,214.32 = 257,033.16 : x
  2. Step 2: Convert to fraction form
    471,893.76/651,214.32 = 257,033.16/x
  3. Step 3: Cross multiply
    471,893.76x = 651,214.32 × 257,033.16
  4. Step 4: Simplify right side
    471,893.76x = 167,383,674,506.85
  5. Step 5: Solve for x
    x = 167,383,674,506.85/471,893.76
  6. Step 6: Final answer
    x = 354,706.27

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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.