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Finding the Fourth Proportional to 536,235.46, 803,128.16 and 255,949.54

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Solution

The fourth proportional to 536,235.46, 803,128.16 and 255,949.54 is: 383,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,235.46 : 803,128.16 = 255,949.54 : x
  2. Step 2: Convert to fraction form
    536,235.46/803,128.16 = 255,949.54/x
  3. Step 3: Cross multiply
    536,235.46x = 803,128.16 × 255,949.54
  4. Step 4: Simplify right side
    536,235.46x = 205,560,281,745.10
  5. Step 5: Solve for x
    x = 205,560,281,745.10/536,235.46
  6. Step 6: Final answer
    x = 383,339.59

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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.