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Finding the Fourth Proportional to 875,457, 1,313,185.50 and 210,609

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Solution

The fourth proportional to 875,457, 1,313,185.50 and 210,609 is: 315,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,457 : 1,313,185.50 = 210,609 : x
  2. Step 2: Convert to fraction form
    875,457/1,313,185.50 = 210,609/x
  3. Step 3: Cross multiply
    875,457x = 1,313,185.50 × 210,609
  4. Step 4: Simplify right side
    875,457x = 276,568,684,969.50
  5. Step 5: Solve for x
    x = 276,568,684,969.50/875,457
  6. Step 6: Final answer
    x = 315,913.50

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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.