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Finding the Fourth Proportional to 294,433.56, 441,657.60 and 107,445

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Solution

The fourth proportional to 294,433.56, 441,657.60 and 107,445 is: 161,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,433.56 : 441,657.60 = 107,445 : x
  2. Step 2: Convert to fraction form
    294,433.56/441,657.60 = 107,445/x
  3. Step 3: Cross multiply
    294,433.56x = 441,657.60 × 107,445
  4. Step 4: Simplify right side
    294,433.56x = 47,453,900,832
  5. Step 5: Solve for x
    x = 47,453,900,832/294,433.56
  6. Step 6: Final answer
    x = 161,170.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.