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Finding the Fourth Proportional to 437,814.64, 656,667.61 and 117,991.53

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Solution

The fourth proportional to 437,814.64, 656,667.61 and 117,991.53 is: 176,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,814.64 : 656,667.61 = 117,991.53 : x
  2. Step 2: Convert to fraction form
    437,814.64/656,667.61 = 117,991.53/x
  3. Step 3: Cross multiply
    437,814.64x = 656,667.61 × 117,991.53
  4. Step 4: Simplify right side
    437,814.64x = 77,481,216,005.34
  5. Step 5: Solve for x
    x = 77,481,216,005.34/437,814.64
  6. Step 6: Final answer
    x = 176,972.65

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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.