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Finding the Fourth Proportional to 420,360.80, 580,111.89 and 229,384.67

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Solution

The fourth proportional to 420,360.80, 580,111.89 and 229,384.67 is: 316,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,360.80 : 580,111.89 = 229,384.67 : x
  2. Step 2: Convert to fraction form
    420,360.80/580,111.89 = 229,384.67/x
  3. Step 3: Cross multiply
    420,360.80x = 580,111.89 × 229,384.67
  4. Step 4: Simplify right side
    420,360.80x = 133,068,774,450.73
  5. Step 5: Solve for x
    x = 133,068,774,450.73/420,360.80
  6. Step 6: Final answer
    x = 316,558.48

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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.