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Finding the Fourth Proportional to 329,215, 454,319.94 and 178,315.24

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Solution

The fourth proportional to 329,215, 454,319.94 and 178,315.24 is: 246,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,215 : 454,319.94 = 178,315.24 : x
  2. Step 2: Convert to fraction form
    329,215/454,319.94 = 178,315.24/x
  3. Step 3: Cross multiply
    329,215x = 454,319.94 × 178,315.24
  4. Step 4: Simplify right side
    329,215x = 81,012,169,137.89
  5. Step 5: Solve for x
    x = 81,012,169,137.89/329,215
  6. Step 6: Final answer
    x = 246,076.79

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1.5x scale

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.