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Finding the Fourth Proportional to 314,043.81, 471,250.32 and 114,376.24

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Solution

The fourth proportional to 314,043.81, 471,250.32 and 114,376.24 is: 171,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,043.81 : 471,250.32 = 114,376.24 : x
  2. Step 2: Convert to fraction form
    314,043.81/471,250.32 = 114,376.24/x
  3. Step 3: Cross multiply
    314,043.81x = 471,250.32 × 114,376.24
  4. Step 4: Simplify right side
    314,043.81x = 53,899,839,700.40
  5. Step 5: Solve for x
    x = 53,899,839,700.40/314,043.81
  6. Step 6: Final answer
    x = 171,631.59

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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.