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Finding the Fourth Proportional to 420,211.98, 579,888.80 and 229,221.27

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Solution

The fourth proportional to 420,211.98, 579,888.80 and 229,221.27 is: 316,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,211.98 : 579,888.80 = 229,221.27 : x
  2. Step 2: Convert to fraction form
    420,211.98/579,888.80 = 229,221.27/x
  3. Step 3: Cross multiply
    420,211.98x = 579,888.80 × 229,221.27
  4. Step 4: Simplify right side
    420,211.98x = 132,922,846,048.67
  5. Step 5: Solve for x
    x = 132,922,846,048.67/420,211.98
  6. Step 6: Final answer
    x = 316,323.31

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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.