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Finding the Fourth Proportional to 277,822.80, 416,831.40 and 120,164.40

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Solution

The fourth proportional to 277,822.80, 416,831.40 and 120,164.40 is: 180,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,822.80 : 416,831.40 = 120,164.40 : x
  2. Step 2: Convert to fraction form
    277,822.80/416,831.40 = 120,164.40/x
  3. Step 3: Cross multiply
    277,822.80x = 416,831.40 × 120,164.40
  4. Step 4: Simplify right side
    277,822.80x = 50,088,295,082.16
  5. Step 5: Solve for x
    x = 50,088,295,082.16/277,822.80
  6. Step 6: Final answer
    x = 180,288.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.