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Finding the Fourth Proportional to 332,509.64, 498,834.60 and 107,852.63

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Solution

The fourth proportional to 332,509.64, 498,834.60 and 107,852.63 is: 161,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,509.64 : 498,834.60 = 107,852.63 : x
  2. Step 2: Convert to fraction form
    332,509.64/498,834.60 = 107,852.63/x
  3. Step 3: Cross multiply
    332,509.64x = 498,834.60 × 107,852.63
  4. Step 4: Simplify right side
    332,509.64x = 53,800,621,050.83
  5. Step 5: Solve for x
    x = 53,800,621,050.83/332,509.64
  6. Step 6: Final answer
    x = 161,801.69

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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.