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Finding the Fourth Proportional to 417,311.38, 576,112.98 and 326,474.38

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Solution

The fourth proportional to 417,311.38, 576,112.98 and 326,474.38 is: 450,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,311.38 : 576,112.98 = 326,474.38 : x
  2. Step 2: Convert to fraction form
    417,311.38/576,112.98 = 326,474.38/x
  3. Step 3: Cross multiply
    417,311.38x = 576,112.98 × 326,474.38
  4. Step 4: Simplify right side
    417,311.38x = 188,086,127,955.45
  5. Step 5: Solve for x
    x = 188,086,127,955.45/417,311.38
  6. Step 6: Final answer
    x = 450,709.32

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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.