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Finding the Fourth Proportional to 718,231, 1,077,346.50 and 274,999

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Solution

The fourth proportional to 718,231, 1,077,346.50 and 274,999 is: 412,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,231 : 1,077,346.50 = 274,999 : x
  2. Step 2: Convert to fraction form
    718,231/1,077,346.50 = 274,999/x
  3. Step 3: Cross multiply
    718,231x = 1,077,346.50 × 274,999
  4. Step 4: Simplify right side
    718,231x = 296,269,210,153.50
  5. Step 5: Solve for x
    x = 296,269,210,153.50/718,231
  6. Step 6: Final answer
    x = 412,498.50

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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.