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Finding the Fourth Proportional to 329,676, 454,955.72 and 178,773

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Solution

The fourth proportional to 329,676, 454,955.72 and 178,773 is: 246,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,676 : 454,955.72 = 178,773 : x
  2. Step 2: Convert to fraction form
    329,676/454,955.72 = 178,773/x
  3. Step 3: Cross multiply
    329,676x = 454,955.72 × 178,773
  4. Step 4: Simplify right side
    329,676x = 81,333,798,931.56
  5. Step 5: Solve for x
    x = 81,333,798,931.56/329,676
  6. Step 6: Final answer
    x = 246,708.28

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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.