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Finding the Fourth Proportional to 460,302.89, 690,438 and 140,441.84

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Solution

The fourth proportional to 460,302.89, 690,438 and 140,441.84 is: 210,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,302.89 : 690,438 = 140,441.84 : x
  2. Step 2: Convert to fraction form
    460,302.89/690,438 = 140,441.84/x
  3. Step 3: Cross multiply
    460,302.89x = 690,438 × 140,441.84
  4. Step 4: Simplify right side
    460,302.89x = 96,966,379,673.73
  5. Step 5: Solve for x
    x = 96,966,379,673.73/460,302.89
  6. Step 6: Final answer
    x = 210,657.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.