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Finding the Fourth Proportional to 277,429.48, 415,969.26 and 152,857.96

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Solution

The fourth proportional to 277,429.48, 415,969.26 and 152,857.96 is: 229,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,429.48 : 415,969.26 = 152,857.96 : x
  2. Step 2: Convert to fraction form
    277,429.48/415,969.26 = 152,857.96/x
  3. Step 3: Cross multiply
    277,429.48x = 415,969.26 × 152,857.96
  4. Step 4: Simplify right side
    277,429.48x = 63,584,212,506.31
  5. Step 5: Solve for x
    x = 63,584,212,506.31/277,429.48
  6. Step 6: Final answer
    x = 229,190.54

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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.