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Finding the Fourth Proportional to 465,813.12, 642,824.64 and 264,616.32

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Solution

The fourth proportional to 465,813.12, 642,824.64 and 264,616.32 is: 365,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,813.12 : 642,824.64 = 264,616.32 : x
  2. Step 2: Convert to fraction form
    465,813.12/642,824.64 = 264,616.32/x
  3. Step 3: Cross multiply
    465,813.12x = 642,824.64 × 264,616.32
  4. Step 4: Simplify right side
    465,813.12x = 170,101,890,642.13
  5. Step 5: Solve for x
    x = 170,101,890,642.13/465,813.12
  6. Step 6: Final answer
    x = 365,171.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.