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Finding the Fourth Proportional to 257,394.96, 384,331.86 and 230,567.76

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Solution

The fourth proportional to 257,394.96, 384,331.86 and 230,567.76 is: 344,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,394.96 : 384,331.86 = 230,567.76 : x
  2. Step 2: Convert to fraction form
    257,394.96/384,331.86 = 230,567.76/x
  3. Step 3: Cross multiply
    257,394.96x = 384,331.86 × 230,567.76
  4. Step 4: Simplify right side
    257,394.96x = 88,614,536,056.83
  5. Step 5: Solve for x
    x = 88,614,536,056.83/257,394.96
  6. Step 6: Final answer
    x = 344,274.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.