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Finding the Fourth Proportional to 406,324.48, 609,879.84 and 196,110.40

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Solution

The fourth proportional to 406,324.48, 609,879.84 and 196,110.40 is: 294,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,324.48 : 609,879.84 = 196,110.40 : x
  2. Step 2: Convert to fraction form
    406,324.48/609,879.84 = 196,110.40/x
  3. Step 3: Cross multiply
    406,324.48x = 609,879.84 × 196,110.40
  4. Step 4: Simplify right side
    406,324.48x = 119,603,779,374.34
  5. Step 5: Solve for x
    x = 119,603,779,374.34/406,324.48
  6. Step 6: Final answer
    x = 294,355.34

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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.