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Finding the Fourth Proportional to 742,600.61, 1,024,792.16 and 420,372.98

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Solution

The fourth proportional to 742,600.61, 1,024,792.16 and 420,372.98 is: 580,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,600.61 : 1,024,792.16 = 420,372.98 : x
  2. Step 2: Convert to fraction form
    742,600.61/1,024,792.16 = 420,372.98/x
  3. Step 3: Cross multiply
    742,600.61x = 1,024,792.16 × 420,372.98
  4. Step 4: Simplify right side
    742,600.61x = 430,794,934,179.84
  5. Step 5: Solve for x
    x = 430,794,934,179.84/742,600.61
  6. Step 6: Final answer
    x = 580,116.59

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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.