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Finding the Fourth Proportional to 294,445.56, 441,675.60 and 107,457

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Solution

The fourth proportional to 294,445.56, 441,675.60 and 107,457 is: 161,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,445.56 : 441,675.60 = 107,457 : x
  2. Step 2: Convert to fraction form
    294,445.56/441,675.60 = 107,457/x
  3. Step 3: Cross multiply
    294,445.56x = 441,675.60 × 107,457
  4. Step 4: Simplify right side
    294,445.56x = 47,461,134,949.20
  5. Step 5: Solve for x
    x = 47,461,134,949.20/294,445.56
  6. Step 6: Final answer
    x = 161,188.15

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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.