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Finding the Fourth Proportional to 409,600, 614,400 and 98,304

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Solution

The fourth proportional to 409,600, 614,400 and 98,304 is: 147,456

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,600 : 614,400 = 98,304 : x
  2. Step 2: Convert to fraction form
    409,600/614,400 = 98,304/x
  3. Step 3: Cross multiply
    409,600x = 614,400 × 98,304
  4. Step 4: Simplify right side
    409,600x = 60,397,977,600
  5. Step 5: Solve for x
    x = 60,397,977,600/409,600
  6. Step 6: Final answer
    x = 147,456

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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.