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Finding the Fourth Proportional to 297,710.20, 410,831.58 and 161,738.20

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Solution

The fourth proportional to 297,710.20, 410,831.58 and 161,738.20 is: 223,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,710.20 : 410,831.58 = 161,738.20 : x
  2. Step 2: Convert to fraction form
    297,710.20/410,831.58 = 161,738.20/x
  3. Step 3: Cross multiply
    297,710.20x = 410,831.58 × 161,738.20
  4. Step 4: Simplify right side
    297,710.20x = 66,447,160,252.36
  5. Step 5: Solve for x
    x = 66,447,160,252.36/297,710.20
  6. Step 6: Final answer
    x = 223,194.10

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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.