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Finding the Fourth Proportional to 264,853.80, 397,434.30 and 98,658.60

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Solution

The fourth proportional to 264,853.80, 397,434.30 and 98,658.60 is: 148,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,853.80 : 397,434.30 = 98,658.60 : x
  2. Step 2: Convert to fraction form
    264,853.80/397,434.30 = 98,658.60/x
  3. Step 3: Cross multiply
    264,853.80x = 397,434.30 × 98,658.60
  4. Step 4: Simplify right side
    264,853.80x = 39,210,311,629.98
  5. Step 5: Solve for x
    x = 39,210,311,629.98/264,853.80
  6. Step 6: Final answer
    x = 148,045.12

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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.