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Finding the Fourth Proportional to 277,429.29, 382,811.37 and 168,476.96

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Solution

The fourth proportional to 277,429.29, 382,811.37 and 168,476.96 is: 232,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,429.29 : 382,811.37 = 168,476.96 : x
  2. Step 2: Convert to fraction form
    277,429.29/382,811.37 = 168,476.96/x
  3. Step 3: Cross multiply
    277,429.29x = 382,811.37 × 168,476.96
  4. Step 4: Simplify right side
    277,429.29x = 64,494,896,196.28
  5. Step 5: Solve for x
    x = 64,494,896,196.28/277,429.29
  6. Step 6: Final answer
    x = 232,473.28

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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.