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Finding the Fourth Proportional to 307,152, 460,728 and 85,536

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Solution

The fourth proportional to 307,152, 460,728 and 85,536 is: 128,304

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,152 : 460,728 = 85,536 : x
  2. Step 2: Convert to fraction form
    307,152/460,728 = 85,536/x
  3. Step 3: Cross multiply
    307,152x = 460,728 × 85,536
  4. Step 4: Simplify right side
    307,152x = 39,408,830,208
  5. Step 5: Solve for x
    x = 39,408,830,208/307,152
  6. Step 6: Final answer
    x = 128,304

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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.