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Finding the Fourth Proportional to 537,134.10, 804,729.15 and 256,031.70

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Solution

The fourth proportional to 537,134.10, 804,729.15 and 256,031.70 is: 383,584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,134.10 : 804,729.15 = 256,031.70 : x
  2. Step 2: Convert to fraction form
    537,134.10/804,729.15 = 256,031.70/x
  3. Step 3: Cross multiply
    537,134.10x = 804,729.15 × 256,031.70
  4. Step 4: Simplify right side
    537,134.10x = 206,036,172,314.06
  5. Step 5: Solve for x
    x = 206,036,172,314.06/537,134.10
  6. Step 6: Final answer
    x = 383,584.23

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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.