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Finding the Fourth Proportional to 742,806.56, 1,025,096.56 and 420,510.80

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Solution

The fourth proportional to 742,806.56, 1,025,096.56 and 420,510.80 is: 580,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,806.56 : 1,025,096.56 = 420,510.80 : x
  2. Step 2: Convert to fraction form
    742,806.56/1,025,096.56 = 420,510.80/x
  3. Step 3: Cross multiply
    742,806.56x = 1,025,096.56 × 420,510.80
  4. Step 4: Simplify right side
    742,806.56x = 431,064,174,522.85
  5. Step 5: Solve for x
    x = 431,064,174,522.85/742,806.56
  6. Step 6: Final answer
    x = 580,318.21

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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.