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Finding the Fourth Proportional to 323,681.60, 446,707.22 and 178,515.78

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Solution

The fourth proportional to 323,681.60, 446,707.22 and 178,515.78 is: 246,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,681.60 : 446,707.22 = 178,515.78 : x
  2. Step 2: Convert to fraction form
    323,681.60/446,707.22 = 178,515.78/x
  3. Step 3: Cross multiply
    323,681.60x = 446,707.22 × 178,515.78
  4. Step 4: Simplify right side
    323,681.60x = 79,744,286,917.35
  5. Step 5: Solve for x
    x = 79,744,286,917.35/323,681.60
  6. Step 6: Final answer
    x = 246,366.45

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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.