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Finding the Fourth Proportional to 307,112.48, 459,808.32 and 231,996.32

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Solution

The fourth proportional to 307,112.48, 459,808.32 and 231,996.32 is: 347,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,112.48 : 459,808.32 = 231,996.32 : x
  2. Step 2: Convert to fraction form
    307,112.48/459,808.32 = 231,996.32/x
  3. Step 3: Cross multiply
    307,112.48x = 459,808.32 × 231,996.32
  4. Step 4: Simplify right side
    307,112.48x = 106,673,838,145.38
  5. Step 5: Solve for x
    x = 106,673,838,145.38/307,112.48
  6. Step 6: Final answer
    x = 347,344.52

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1.5x scale

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.