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Finding the Fourth Proportional to 341,023.86, 470,606.72 and 188,076.19

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Solution

The fourth proportional to 341,023.86, 470,606.72 and 188,076.19 is: 259,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,023.86 : 470,606.72 = 188,076.19 : x
  2. Step 2: Convert to fraction form
    341,023.86/470,606.72 = 188,076.19/x
  3. Step 3: Cross multiply
    341,023.86x = 470,606.72 × 188,076.19
  4. Step 4: Simplify right side
    341,023.86x = 88,509,916,769.10
  5. Step 5: Solve for x
    x = 88,509,916,769.10/341,023.86
  6. Step 6: Final answer
    x = 259,541.71

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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.