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Finding the Fourth Proportional to 420,300, 580,014 and 269,397.36

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Solution

The fourth proportional to 420,300, 580,014 and 269,397.36 is: 371,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,300 : 580,014 = 269,397.36 : x
  2. Step 2: Convert to fraction form
    420,300/580,014 = 269,397.36/x
  3. Step 3: Cross multiply
    420,300x = 580,014 × 269,397.36
  4. Step 4: Simplify right side
    420,300x = 156,254,240,363.04
  5. Step 5: Solve for x
    x = 156,254,240,363.04/420,300
  6. Step 6: Final answer
    x = 371,768.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.