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Finding the Fourth Proportional to 405,884.77, 608,831.24 and 181,256.58

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Solution

The fourth proportional to 405,884.77, 608,831.24 and 181,256.58 is: 271,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,884.77 : 608,831.24 = 181,256.58 : x
  2. Step 2: Convert to fraction form
    405,884.77/608,831.24 = 181,256.58/x
  3. Step 3: Cross multiply
    405,884.77x = 608,831.24 × 181,256.58
  4. Step 4: Simplify right side
    405,884.77x = 110,354,667,453.28
  5. Step 5: Solve for x
    x = 110,354,667,453.28/405,884.77
  6. Step 6: Final answer
    x = 271,886.69

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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.