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Finding the Fourth Proportional to 312,858.92, 468,752.01 and 210,083.60

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Solution

The fourth proportional to 312,858.92, 468,752.01 and 210,083.60 is: 314,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,858.92 : 468,752.01 = 210,083.60 : x
  2. Step 2: Convert to fraction form
    312,858.92/468,752.01 = 210,083.60/x
  3. Step 3: Cross multiply
    312,858.92x = 468,752.01 × 210,083.60
  4. Step 4: Simplify right side
    312,858.92x = 98,477,107,424.28
  5. Step 5: Solve for x
    x = 98,477,107,424.28/312,858.92
  6. Step 6: Final answer
    x = 314,765.23

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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.