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Finding the Fourth Proportional to 471,894.46, 651,224.36 and 257,034.01

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Solution

The fourth proportional to 471,894.46, 651,224.36 and 257,034.01 is: 354,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,894.46 : 651,224.36 = 257,034.01 : x
  2. Step 2: Convert to fraction form
    471,894.46/651,224.36 = 257,034.01/x
  3. Step 3: Cross multiply
    471,894.46x = 651,224.36 × 257,034.01
  4. Step 4: Simplify right side
    471,894.46x = 167,386,807,450.24
  5. Step 5: Solve for x
    x = 167,386,807,450.24/471,894.46
  6. Step 6: Final answer
    x = 354,712.38

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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.