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Finding the Fourth Proportional to 446,731.56, 616,472.64 and 255,762.72

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Solution

The fourth proportional to 446,731.56, 616,472.64 and 255,762.72 is: 352,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,731.56 : 616,472.64 = 255,762.72 : x
  2. Step 2: Convert to fraction form
    446,731.56/616,472.64 = 255,762.72/x
  3. Step 3: Cross multiply
    446,731.56x = 616,472.64 × 255,762.72
  4. Step 4: Simplify right side
    446,731.56x = 157,670,719,211.98
  5. Step 5: Solve for x
    x = 157,670,719,211.98/446,731.56
  6. Step 6: Final answer
    x = 352,942.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.