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Finding the Fourth Proportional to 397,911.36, 549,117.60 and 219,063.36

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Solution

The fourth proportional to 397,911.36, 549,117.60 and 219,063.36 is: 302,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,911.36 : 549,117.60 = 219,063.36 : x
  2. Step 2: Convert to fraction form
    397,911.36/549,117.60 = 219,063.36/x
  3. Step 3: Cross multiply
    397,911.36x = 549,117.60 × 219,063.36
  4. Step 4: Simplify right side
    397,911.36x = 120,291,546,491.14
  5. Step 5: Solve for x
    x = 120,291,546,491.14/397,911.36
  6. Step 6: Final answer
    x = 302,307.39

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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.