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Finding the Fourth Proportional to 537,271.80, 804,986.10 and 256,183.80

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Solution

The fourth proportional to 537,271.80, 804,986.10 and 256,183.80 is: 383,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,271.80 : 804,986.10 = 256,183.80 : x
  2. Step 2: Convert to fraction form
    537,271.80/804,986.10 = 256,183.80/x
  3. Step 3: Cross multiply
    537,271.80x = 804,986.10 × 256,183.80
  4. Step 4: Simplify right side
    537,271.80x = 206,224,398,045.18
  5. Step 5: Solve for x
    x = 206,224,398,045.18/537,271.80
  6. Step 6: Final answer
    x = 383,836.26

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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.