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Finding the Fourth Proportional to 647,823.96, 971,735.94 and 332,079.48

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Solution

The fourth proportional to 647,823.96, 971,735.94 and 332,079.48 is: 498,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,823.96 : 971,735.94 = 332,079.48 : x
  2. Step 2: Convert to fraction form
    647,823.96/971,735.94 = 332,079.48/x
  3. Step 3: Cross multiply
    647,823.96x = 971,735.94 × 332,079.48
  4. Step 4: Simplify right side
    647,823.96x = 322,693,565,652.51
  5. Step 5: Solve for x
    x = 322,693,565,652.51/647,823.96
  6. Step 6: Final answer
    x = 498,119.22

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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.