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Finding the Fourth Proportional to 446,091.54, 615,585.33 and 242,137.86

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Solution

The fourth proportional to 446,091.54, 615,585.33 and 242,137.86 is: 334,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,091.54 : 615,585.33 = 242,137.86 : x
  2. Step 2: Convert to fraction form
    446,091.54/615,585.33 = 242,137.86/x
  3. Step 3: Cross multiply
    446,091.54x = 615,585.33 × 242,137.86
  4. Step 4: Simplify right side
    446,091.54x = 149,056,514,453.59
  5. Step 5: Solve for x
    x = 149,056,514,453.59/446,091.54
  6. Step 6: Final answer
    x = 334,138.85

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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.