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Finding the Fourth Proportional to 291,077.23, 401,470.06 and 257,025.64

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Solution

The fourth proportional to 291,077.23, 401,470.06 and 257,025.64 is: 354,504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,077.23 : 401,470.06 = 257,025.64 : x
  2. Step 2: Convert to fraction form
    291,077.23/401,470.06 = 257,025.64/x
  3. Step 3: Cross multiply
    291,077.23x = 401,470.06 × 257,025.64
  4. Step 4: Simplify right side
    291,077.23x = 103,188,095,819.86
  5. Step 5: Solve for x
    x = 103,188,095,819.86/291,077.23
  6. Step 6: Final answer
    x = 354,504.19

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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.