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Finding the Fourth Proportional to 398,452.25, 549,898.67 and 219,638.81

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Solution

The fourth proportional to 398,452.25, 549,898.67 and 219,638.81 is: 303,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,452.25 : 549,898.67 = 219,638.81 : x
  2. Step 2: Convert to fraction form
    398,452.25/549,898.67 = 219,638.81/x
  3. Step 3: Cross multiply
    398,452.25x = 549,898.67 × 219,638.81
  4. Step 4: Simplify right side
    398,452.25x = 120,779,089,499.38
  5. Step 5: Solve for x
    x = 120,779,089,499.38/398,452.25
  6. Step 6: Final answer
    x = 303,120.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.