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Finding the Fourth Proportional to 314,709.36, 471,606.12 and 194,509.68

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Solution

The fourth proportional to 314,709.36, 471,606.12 and 194,509.68 is: 291,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,709.36 : 471,606.12 = 194,509.68 : x
  2. Step 2: Convert to fraction form
    314,709.36/471,606.12 = 194,509.68/x
  3. Step 3: Cross multiply
    314,709.36x = 471,606.12 × 194,509.68
  4. Step 4: Simplify right side
    314,709.36x = 91,731,955,487.24
  5. Step 5: Solve for x
    x = 91,731,955,487.24/314,709.36
  6. Step 6: Final answer
    x = 291,481.50

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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.