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Finding the Fourth Proportional to 314,009.92, 433,110.88 and 192,992.32

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Solution

The fourth proportional to 314,009.92, 433,110.88 and 192,992.32 is: 266,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,009.92 : 433,110.88 = 192,992.32 : x
  2. Step 2: Convert to fraction form
    314,009.92/433,110.88 = 192,992.32/x
  3. Step 3: Cross multiply
    314,009.92x = 433,110.88 × 192,992.32
  4. Step 4: Simplify right side
    314,009.92x = 83,587,073,548.44
  5. Step 5: Solve for x
    x = 83,587,073,548.44/314,009.92
  6. Step 6: Final answer
    x = 266,192.46

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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.