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Finding the Fourth Proportional to 264,516, 396,776.16 and 98,304

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Solution

The fourth proportional to 264,516, 396,776.16 and 98,304 is: 147,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,516 : 396,776.16 = 98,304 : x
  2. Step 2: Convert to fraction form
    264,516/396,776.16 = 98,304/x
  3. Step 3: Cross multiply
    264,516x = 396,776.16 × 98,304
  4. Step 4: Simplify right side
    264,516x = 39,004,683,632.64
  5. Step 5: Solve for x
    x = 39,004,683,632.64/264,516
  6. Step 6: Final answer
    x = 147,456.80

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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.