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Finding the Fourth Proportional to 601,064, 829,468.32 and 332,792

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Solution

The fourth proportional to 601,064, 829,468.32 and 332,792 is: 459,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,064 : 829,468.32 = 332,792 : x
  2. Step 2: Convert to fraction form
    601,064/829,468.32 = 332,792/x
  3. Step 3: Cross multiply
    601,064x = 829,468.32 × 332,792
  4. Step 4: Simplify right side
    601,064x = 276,040,421,149.44
  5. Step 5: Solve for x
    x = 276,040,421,149.44/601,064
  6. Step 6: Final answer
    x = 459,252.96

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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.