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Finding the Fourth Proportional to 339,465.10, 468,462.11 and 186,513.16

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Solution

The fourth proportional to 339,465.10, 468,462.11 and 186,513.16 is: 257,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,465.10 : 468,462.11 = 186,513.16 : x
  2. Step 2: Convert to fraction form
    339,465.10/468,462.11 = 186,513.16/x
  3. Step 3: Cross multiply
    339,465.10x = 468,462.11 × 186,513.16
  4. Step 4: Simplify right side
    339,465.10x = 87,374,348,476.37
  5. Step 5: Solve for x
    x = 87,374,348,476.37/339,465.10
  6. Step 6: Final answer
    x = 257,388.31

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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.