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Finding the Fourth Proportional to 294,552.72, 441,697.86 and 107,433

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Solution

The fourth proportional to 294,552.72, 441,697.86 and 107,433 is: 161,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,552.72 : 441,697.86 = 107,433 : x
  2. Step 2: Convert to fraction form
    294,552.72/441,697.86 = 107,433/x
  3. Step 3: Cross multiply
    294,552.72x = 441,697.86 × 107,433
  4. Step 4: Simplify right side
    294,552.72x = 47,452,926,193.38
  5. Step 5: Solve for x
    x = 47,452,926,193.38/294,552.72
  6. Step 6: Final answer
    x = 161,101.64

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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.