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Finding the Fourth Proportional to 420,225.19, 579,912.48 and 229,242.58

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Solution

The fourth proportional to 420,225.19, 579,912.48 and 229,242.58 is: 316,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,225.19 : 579,912.48 = 229,242.58 : x
  2. Step 2: Convert to fraction form
    420,225.19/579,912.48 = 229,242.58/x
  3. Step 3: Cross multiply
    420,225.19x = 579,912.48 × 229,242.58
  4. Step 4: Simplify right side
    420,225.19x = 132,940,631,639.62
  5. Step 5: Solve for x
    x = 132,940,631,639.62/420,225.19
  6. Step 6: Final answer
    x = 316,355.70

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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.