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Finding the Fourth Proportional to 309,557.64, 427,008.55 and 194,654.43

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Solution

The fourth proportional to 309,557.64, 427,008.55 and 194,654.43 is: 268,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,557.64 : 427,008.55 = 194,654.43 : x
  2. Step 2: Convert to fraction form
    309,557.64/427,008.55 = 194,654.43/x
  3. Step 3: Cross multiply
    309,557.64x = 427,008.55 × 194,654.43
  4. Step 4: Simplify right side
    309,557.64x = 83,119,105,905.38
  5. Step 5: Solve for x
    x = 83,119,105,905.38/309,557.64
  6. Step 6: Final answer
    x = 268,509.30

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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.