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Finding the Fourth Proportional to 420,298.32, 580,011.68 and 269,395.32

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Solution

The fourth proportional to 420,298.32, 580,011.68 and 269,395.32 is: 371,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,298.32 : 580,011.68 = 269,395.32 : x
  2. Step 2: Convert to fraction form
    420,298.32/580,011.68 = 269,395.32/x
  3. Step 3: Cross multiply
    420,298.32x = 580,011.68 × 269,395.32
  4. Step 4: Simplify right side
    420,298.32x = 156,252,430,790.36
  5. Step 5: Solve for x
    x = 156,252,430,790.36/420,298.32
  6. Step 6: Final answer
    x = 371,765.54

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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.