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Finding the Fourth Proportional to 659,361, 988,952.94 and 186,084.36

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Solution

The fourth proportional to 659,361, 988,952.94 and 186,084.36 is: 279,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,361 : 988,952.94 = 186,084.36 : x
  2. Step 2: Convert to fraction form
    659,361/988,952.94 = 186,084.36/x
  3. Step 3: Cross multiply
    659,361x = 988,952.94 × 186,084.36
  4. Step 4: Simplify right side
    659,361x = 184,028,674,910.02
  5. Step 5: Solve for x
    x = 184,028,674,910.02/659,361
  6. Step 6: Final answer
    x = 279,101.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.