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Finding the Fourth Proportional to 291,671.76, 437,470.74 and 114,303.33

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Solution

The fourth proportional to 291,671.76, 437,470.74 and 114,303.33 is: 171,440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,671.76 : 437,470.74 = 114,303.33 : x
  2. Step 2: Convert to fraction form
    291,671.76/437,470.74 = 114,303.33/x
  3. Step 3: Cross multiply
    291,671.76x = 437,470.74 × 114,303.33
  4. Step 4: Simplify right side
    291,671.76x = 50,004,362,359.56
  5. Step 5: Solve for x
    x = 50,004,362,359.56/291,671.76
  6. Step 6: Final answer
    x = 171,440.53

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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.