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Finding the Fourth Proportional to 421,690.05, 581,938.83 and 230,706.63

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Solution

The fourth proportional to 421,690.05, 581,938.83 and 230,706.63 is: 318,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,690.05 : 581,938.83 = 230,706.63 : x
  2. Step 2: Convert to fraction form
    421,690.05/581,938.83 = 230,706.63/x
  3. Step 3: Cross multiply
    421,690.05x = 581,938.83 × 230,706.63
  4. Step 4: Simplify right side
    421,690.05x = 134,257,146,335.44
  5. Step 5: Solve for x
    x = 134,257,146,335.44/421,690.05
  6. Step 6: Final answer
    x = 318,378.74

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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.