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Finding the Fourth Proportional to 277,678.46, 383,174.60 and 156,831.86

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Solution

The fourth proportional to 277,678.46, 383,174.60 and 156,831.86 is: 216,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,678.46 : 383,174.60 = 156,831.86 : x
  2. Step 2: Convert to fraction form
    277,678.46/383,174.60 = 156,831.86/x
  3. Step 3: Cross multiply
    277,678.46x = 383,174.60 × 156,831.86
  4. Step 4: Simplify right side
    277,678.46x = 60,093,985,222.76
  5. Step 5: Solve for x
    x = 60,093,985,222.76/277,678.46
  6. Step 6: Final answer
    x = 216,415.72

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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.