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Finding the Fourth Proportional to 277,009.22, 382,450.64 and 173,784.93

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Solution

The fourth proportional to 277,009.22, 382,450.64 and 173,784.93 is: 239,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,009.22 : 382,450.64 = 173,784.93 : x
  2. Step 2: Convert to fraction form
    277,009.22/382,450.64 = 173,784.93/x
  3. Step 3: Cross multiply
    277,009.22x = 382,450.64 × 173,784.93
  4. Step 4: Simplify right side
    277,009.22x = 66,464,156,831.93
  5. Step 5: Solve for x
    x = 66,464,156,831.93/277,009.22
  6. Step 6: Final answer
    x = 239,934.82

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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.