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Finding the Fourth Proportional to 277,032.24, 382,256.28 and 163,813.68

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Solution

The fourth proportional to 277,032.24, 382,256.28 and 163,813.68 is: 226,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,032.24 : 382,256.28 = 163,813.68 : x
  2. Step 2: Convert to fraction form
    277,032.24/382,256.28 = 163,813.68/x
  3. Step 3: Cross multiply
    277,032.24x = 382,256.28 × 163,813.68
  4. Step 4: Simplify right side
    277,032.24x = 62,618,807,929.91
  5. Step 5: Solve for x
    x = 62,618,807,929.91/277,032.24
  6. Step 6: Final answer
    x = 226,034.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.