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Finding the Fourth Proportional to 464,215.50, 696,634.56 and 168,727.50

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Solution

The fourth proportional to 464,215.50, 696,634.56 and 168,727.50 is: 253,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,215.50 : 696,634.56 = 168,727.50 : x
  2. Step 2: Convert to fraction form
    464,215.50/696,634.56 = 168,727.50/x
  3. Step 3: Cross multiply
    464,215.50x = 696,634.56 × 168,727.50
  4. Step 4: Simplify right side
    464,215.50x = 117,541,407,722.40
  5. Step 5: Solve for x
    x = 117,541,407,722.40/464,215.50
  6. Step 6: Final answer
    x = 253,204.40

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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.