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Finding the Fourth Proportional to 356,009.34, 491,304.78 and 203,070

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Solution

The fourth proportional to 356,009.34, 491,304.78 and 203,070 is: 280,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,009.34 : 491,304.78 = 203,070 : x
  2. Step 2: Convert to fraction form
    356,009.34/491,304.78 = 203,070/x
  3. Step 3: Cross multiply
    356,009.34x = 491,304.78 × 203,070
  4. Step 4: Simplify right side
    356,009.34x = 99,769,261,674.60
  5. Step 5: Solve for x
    x = 99,769,261,674.60/356,009.34
  6. Step 6: Final answer
    x = 280,243.38

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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.