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Finding the Fourth Proportional to 329,830.67, 455,127.93 and 184,644.40

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Solution

The fourth proportional to 329,830.67, 455,127.93 and 184,644.40 is: 254,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,830.67 : 455,127.93 = 184,644.40 : x
  2. Step 2: Convert to fraction form
    329,830.67/455,127.93 = 184,644.40/x
  3. Step 3: Cross multiply
    329,830.67x = 455,127.93 × 184,644.40
  4. Step 4: Simplify right side
    329,830.67x = 84,036,823,558.09
  5. Step 5: Solve for x
    x = 84,036,823,558.09/329,830.67
  6. Step 6: Final answer
    x = 254,787.78

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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.