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Finding the Fourth Proportional to 277,582.38, 416,374.65 and 67,220.52

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Solution

The fourth proportional to 277,582.38, 416,374.65 and 67,220.52 is: 100,831.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,582.38 : 416,374.65 = 67,220.52 : x
  2. Step 2: Convert to fraction form
    277,582.38/416,374.65 = 67,220.52/x
  3. Step 3: Cross multiply
    277,582.38x = 416,374.65 × 67,220.52
  4. Step 4: Simplify right side
    277,582.38x = 27,988,920,487.82
  5. Step 5: Solve for x
    x = 27,988,920,487.82/277,582.38
  6. Step 6: Final answer
    x = 100,831.04

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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.