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Finding the Fourth Proportional to 420,604.27, 580,430.93 and 229,617.66

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Solution

The fourth proportional to 420,604.27, 580,430.93 and 229,617.66 is: 316,870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,604.27 : 580,430.93 = 229,617.66 : x
  2. Step 2: Convert to fraction form
    420,604.27/580,430.93 = 229,617.66/x
  3. Step 3: Cross multiply
    420,604.27x = 580,430.93 × 229,617.66
  4. Step 4: Simplify right side
    420,604.27x = 133,277,191,938.22
  5. Step 5: Solve for x
    x = 133,277,191,938.22/420,604.27
  6. Step 6: Final answer
    x = 316,870.75

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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.