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Finding the Fourth Proportional to 339,492.24, 468,507.16 and 186,540

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Solution

The fourth proportional to 339,492.24, 468,507.16 and 186,540 is: 257,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,492.24 : 468,507.16 = 186,540 : x
  2. Step 2: Convert to fraction form
    339,492.24/468,507.16 = 186,540/x
  3. Step 3: Cross multiply
    339,492.24x = 468,507.16 × 186,540
  4. Step 4: Simplify right side
    339,492.24x = 87,395,325,626.40
  5. Step 5: Solve for x
    x = 87,395,325,626.40/339,492.24
  6. Step 6: Final answer
    x = 257,429.52

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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.