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Finding the Fourth Proportional to 472,091.76, 651,494.34 and 257,240.88

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Solution

The fourth proportional to 472,091.76, 651,494.34 and 257,240.88 is: 354,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,091.76 : 651,494.34 = 257,240.88 : x
  2. Step 2: Convert to fraction form
    472,091.76/651,494.34 = 257,240.88/x
  3. Step 3: Cross multiply
    472,091.76x = 651,494.34 × 257,240.88
  4. Step 4: Simplify right side
    472,091.76x = 167,590,977,336.62
  5. Step 5: Solve for x
    x = 167,590,977,336.62/472,091.76
  6. Step 6: Final answer
    x = 354,996.62

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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.