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Finding the Fourth Proportional to 420,409.57, 580,177.53 and 229,435.24

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Solution

The fourth proportional to 420,409.57, 580,177.53 and 229,435.24 is: 316,627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,409.57 : 580,177.53 = 229,435.24 : x
  2. Step 2: Convert to fraction form
    420,409.57/580,177.53 = 229,435.24/x
  3. Step 3: Cross multiply
    420,409.57x = 580,177.53 × 229,435.24
  4. Step 4: Simplify right side
    420,409.57x = 133,113,166,790.09
  5. Step 5: Solve for x
    x = 133,113,166,790.09/420,409.57
  6. Step 6: Final answer
    x = 316,627.35

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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.