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Finding the Fourth Proportional to 414,542.30, 572,016.94 and 261,522.50

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Solution

The fourth proportional to 414,542.30, 572,016.94 and 261,522.50 is: 360,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,542.30 : 572,016.94 = 261,522.50 : x
  2. Step 2: Convert to fraction form
    414,542.30/572,016.94 = 261,522.50/x
  3. Step 3: Cross multiply
    414,542.30x = 572,016.94 × 261,522.50
  4. Step 4: Simplify right side
    414,542.30x = 149,595,296,677.26
  5. Step 5: Solve for x
    x = 149,595,296,677.26/414,542.30
  6. Step 6: Final answer
    x = 360,868.60

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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.