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Finding the Fourth Proportional to 476,728.95, 657,725.34 and 269,969.07

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Solution

The fourth proportional to 476,728.95, 657,725.34 and 269,969.07 is: 372,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,728.95 : 657,725.34 = 269,969.07 : x
  2. Step 2: Convert to fraction form
    476,728.95/657,725.34 = 269,969.07/x
  3. Step 3: Cross multiply
    476,728.95x = 657,725.34 × 269,969.07
  4. Step 4: Simplify right side
    476,728.95x = 177,565,498,355.23
  5. Step 5: Solve for x
    x = 177,565,498,355.23/476,728.95
  6. Step 6: Final answer
    x = 372,466.36

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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.