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Finding the Fourth Proportional to 537,273.80, 804,989.10 and 256,185.80

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Solution

The fourth proportional to 537,273.80, 804,989.10 and 256,185.80 is: 383,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,273.80 : 804,989.10 = 256,185.80 : x
  2. Step 2: Convert to fraction form
    537,273.80/804,989.10 = 256,185.80/x
  3. Step 3: Cross multiply
    537,273.80x = 804,989.10 × 256,185.80
  4. Step 4: Simplify right side
    537,273.80x = 206,226,776,574.78
  5. Step 5: Solve for x
    x = 206,226,776,574.78/537,273.80
  6. Step 6: Final answer
    x = 383,839.26

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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.