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Finding the Fourth Proportional to 537,264.80, 804,975.60 and 256,176.80

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Solution

The fourth proportional to 537,264.80, 804,975.60 and 256,176.80 is: 383,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,264.80 : 804,975.60 = 256,176.80 : x
  2. Step 2: Convert to fraction form
    537,264.80/804,975.60 = 256,176.80/x
  3. Step 3: Cross multiply
    537,264.80x = 804,975.60 × 256,176.80
  4. Step 4: Simplify right side
    537,264.80x = 206,216,073,286.08
  5. Step 5: Solve for x
    x = 206,216,073,286.08/537,264.80
  6. Step 6: Final answer
    x = 383,825.77

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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.