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Finding the Fourth Proportional to 419,914.12, 579,483.30 and 269,098.60

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Solution

The fourth proportional to 419,914.12, 579,483.30 and 269,098.60 is: 371,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,914.12 : 579,483.30 = 269,098.60 : x
  2. Step 2: Convert to fraction form
    419,914.12/579,483.30 = 269,098.60/x
  3. Step 3: Cross multiply
    419,914.12x = 579,483.30 × 269,098.60
  4. Step 4: Simplify right side
    419,914.12x = 155,938,144,753.38
  5. Step 5: Solve for x
    x = 155,938,144,753.38/419,914.12
  6. Step 6: Final answer
    x = 371,357.23

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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.