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Finding the Fourth Proportional to 427,037.52, 589,286.16 and 236,039.52

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Solution

The fourth proportional to 427,037.52, 589,286.16 and 236,039.52 is: 325,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,037.52 : 589,286.16 = 236,039.52 : x
  2. Step 2: Convert to fraction form
    427,037.52/589,286.16 = 236,039.52/x
  3. Step 3: Cross multiply
    427,037.52x = 589,286.16 × 236,039.52
  4. Step 4: Simplify right side
    427,037.52x = 139,094,822,349.04
  5. Step 5: Solve for x
    x = 139,094,822,349.04/427,037.52
  6. Step 6: Final answer
    x = 325,720.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.