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Finding the Fourth Proportional to 420,499.89, 580,221.43 and 248,394.06

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Solution

The fourth proportional to 420,499.89, 580,221.43 and 248,394.06 is: 342,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,499.89 : 580,221.43 = 248,394.06 : x
  2. Step 2: Convert to fraction form
    420,499.89/580,221.43 = 248,394.06/x
  3. Step 3: Cross multiply
    420,499.89x = 580,221.43 × 248,394.06
  4. Step 4: Simplify right side
    420,499.89x = 144,123,556,075.72
  5. Step 5: Solve for x
    x = 144,123,556,075.72/420,499.89
  6. Step 6: Final answer
    x = 342,743.39

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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.