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Finding the Fourth Proportional to 294,421.56, 441,639.60 and 107,433

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Solution

The fourth proportional to 294,421.56, 441,639.60 and 107,433 is: 161,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,421.56 : 441,639.60 = 107,433 : x
  2. Step 2: Convert to fraction form
    294,421.56/441,639.60 = 107,433/x
  3. Step 3: Cross multiply
    294,421.56x = 441,639.60 × 107,433
  4. Step 4: Simplify right side
    294,421.56x = 47,446,667,146.80
  5. Step 5: Solve for x
    x = 47,446,667,146.80/294,421.56
  6. Step 6: Final answer
    x = 161,152.15

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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.