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Finding the Fourth Proportional to 314,010.92, 433,112.26 and 192,993.32

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Solution

The fourth proportional to 314,010.92, 433,112.26 and 192,993.32 is: 266,193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,010.92 : 433,112.26 = 192,993.32 : x
  2. Step 2: Convert to fraction form
    314,010.92/433,112.26 = 192,993.32/x
  3. Step 3: Cross multiply
    314,010.92x = 433,112.26 × 192,993.32
  4. Step 4: Simplify right side
    314,010.92x = 83,587,772,990.10
  5. Step 5: Solve for x
    x = 83,587,772,990.10/314,010.92
  6. Step 6: Final answer
    x = 266,193.84

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1.5x scale

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.