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Finding the Fourth Proportional to 537,205.10, 804,835.65 and 256,102.70

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Solution

The fourth proportional to 537,205.10, 804,835.65 and 256,102.70 is: 383,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,205.10 : 804,835.65 = 256,102.70 : x
  2. Step 2: Convert to fraction form
    537,205.10/804,835.65 = 256,102.70/x
  3. Step 3: Cross multiply
    537,205.10x = 804,835.65 × 256,102.70
  4. Step 4: Simplify right side
    537,205.10x = 206,120,583,021.26
  5. Step 5: Solve for x
    x = 206,120,583,021.26/537,205.10
  6. Step 6: Final answer
    x = 383,690.67

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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.