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Finding the Fourth Proportional to 329,428.89, 454,616.91 and 193,465.71

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Solution

The fourth proportional to 329,428.89, 454,616.91 and 193,465.71 is: 266,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,428.89 : 454,616.91 = 193,465.71 : x
  2. Step 2: Convert to fraction form
    329,428.89/454,616.91 = 193,465.71/x
  3. Step 3: Cross multiply
    329,428.89x = 454,616.91 × 193,465.71
  4. Step 4: Simplify right side
    329,428.89x = 87,952,783,271.16
  5. Step 5: Solve for x
    x = 87,952,783,271.16/329,428.89
  6. Step 6: Final answer
    x = 266,985.64

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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.