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Finding the Fourth Proportional to 277,383.88, 382,800.63 and 162,646.57

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Solution

The fourth proportional to 277,383.88, 382,800.63 and 162,646.57 is: 224,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,383.88 : 382,800.63 = 162,646.57 : x
  2. Step 2: Convert to fraction form
    277,383.88/382,800.63 = 162,646.57/x
  3. Step 3: Cross multiply
    277,383.88x = 382,800.63 × 162,646.57
  4. Step 4: Simplify right side
    277,383.88x = 62,261,209,463.34
  5. Step 5: Solve for x
    x = 62,261,209,463.34/277,383.88
  6. Step 6: Final answer
    x = 224,458.64

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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.