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Finding the Fourth Proportional to 329,510.16, 454,724.22 and 178,607.16

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Solution

The fourth proportional to 329,510.16, 454,724.22 and 178,607.16 is: 246,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,510.16 : 454,724.22 = 178,607.16 : x
  2. Step 2: Convert to fraction form
    329,510.16/454,724.22 = 178,607.16/x
  3. Step 3: Cross multiply
    329,510.16x = 454,724.22 × 178,607.16
  4. Step 4: Simplify right side
    329,510.16x = 81,217,001,517.42
  5. Step 5: Solve for x
    x = 81,217,001,517.42/329,510.16
  6. Step 6: Final answer
    x = 246,477.99

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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.