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Finding the Fourth Proportional to 255,879.40, 384,164.70 and 162,567.40

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Solution

The fourth proportional to 255,879.40, 384,164.70 and 162,567.40 is: 244,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,879.40 : 384,164.70 = 162,567.40 : x
  2. Step 2: Convert to fraction form
    255,879.40/384,164.70 = 162,567.40/x
  3. Step 3: Cross multiply
    255,879.40x = 384,164.70 × 162,567.40
  4. Step 4: Simplify right side
    255,879.40x = 62,452,656,450.78
  5. Step 5: Solve for x
    x = 62,452,656,450.78/255,879.40
  6. Step 6: Final answer
    x = 244,070.67

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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.