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Finding the Fourth Proportional to 380,492.32, 525,072.96 and 210,722.80

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Solution

The fourth proportional to 380,492.32, 525,072.96 and 210,722.80 is: 290,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,492.32 : 525,072.96 = 210,722.80 : x
  2. Step 2: Convert to fraction form
    380,492.32/525,072.96 = 210,722.80/x
  3. Step 3: Cross multiply
    380,492.32x = 525,072.96 × 210,722.80
  4. Step 4: Simplify right side
    380,492.32x = 110,644,844,335.49
  5. Step 5: Solve for x
    x = 110,644,844,335.49/380,492.32
  6. Step 6: Final answer
    x = 290,793.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.