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Finding the Fourth Proportional to 343,895.40, 515,843.10 and 186,431.40

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Solution

The fourth proportional to 343,895.40, 515,843.10 and 186,431.40 is: 279,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,895.40 : 515,843.10 = 186,431.40 : x
  2. Step 2: Convert to fraction form
    343,895.40/515,843.10 = 186,431.40/x
  3. Step 3: Cross multiply
    343,895.40x = 515,843.10 × 186,431.40
  4. Step 4: Simplify right side
    343,895.40x = 96,169,351,313.34
  5. Step 5: Solve for x
    x = 96,169,351,313.34/343,895.40
  6. Step 6: Final answer
    x = 279,647.10

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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.