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Finding the Fourth Proportional to 345,663, 477,015.12 and 186,687

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Solution

The fourth proportional to 345,663, 477,015.12 and 186,687 is: 257,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,663 : 477,015.12 = 186,687 : x
  2. Step 2: Convert to fraction form
    345,663/477,015.12 = 186,687/x
  3. Step 3: Cross multiply
    345,663x = 477,015.12 × 186,687
  4. Step 4: Simplify right side
    345,663x = 89,052,521,707.44
  5. Step 5: Solve for x
    x = 89,052,521,707.44/345,663
  6. Step 6: Final answer
    x = 257,628.16

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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.