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Finding the Fourth Proportional to 442,883.85, 610,969.23 and 261,474.25

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Solution

The fourth proportional to 442,883.85, 610,969.23 and 261,474.25 is: 360,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,883.85 : 610,969.23 = 261,474.25 : x
  2. Step 2: Convert to fraction form
    442,883.85/610,969.23 = 261,474.25/x
  3. Step 3: Cross multiply
    442,883.85x = 610,969.23 × 261,474.25
  4. Step 4: Simplify right side
    442,883.85x = 159,752,721,187.33
  5. Step 5: Solve for x
    x = 159,752,721,187.33/442,883.85
  6. Step 6: Final answer
    x = 360,710.20

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1.5x scale

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.