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Finding the Fourth Proportional to 329,541.40, 494,312.10 and 298,048.60

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Solution

The fourth proportional to 329,541.40, 494,312.10 and 298,048.60 is: 447,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,541.40 : 494,312.10 = 298,048.60 : x
  2. Step 2: Convert to fraction form
    329,541.40/494,312.10 = 298,048.60/x
  3. Step 3: Cross multiply
    329,541.40x = 494,312.10 × 298,048.60
  4. Step 4: Simplify right side
    329,541.40x = 147,329,029,368.06
  5. Step 5: Solve for x
    x = 147,329,029,368.06/329,541.40
  6. Step 6: Final answer
    x = 447,072.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.