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Finding the Fourth Proportional to 219,751.30, 327,779.53 and 199,570.08

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Solution

The fourth proportional to 219,751.30, 327,779.53 and 199,570.08 is: 297,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,751.30 : 327,779.53 = 199,570.08 : x
  2. Step 2: Convert to fraction form
    219,751.30/327,779.53 = 199,570.08/x
  3. Step 3: Cross multiply
    219,751.30x = 327,779.53 × 199,570.08
  4. Step 4: Simplify right side
    219,751.30x = 65,414,987,024.46
  5. Step 5: Solve for x
    x = 65,414,987,024.46/219,751.30
  6. Step 6: Final answer
    x = 297,677.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.