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Finding the Fourth Proportional to 768,468, 1,152,708.48 and 269,832

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Solution

The fourth proportional to 768,468, 1,152,708.48 and 269,832 is: 404,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,468 : 1,152,708.48 = 269,832 : x
  2. Step 2: Convert to fraction form
    768,468/1,152,708.48 = 269,832/x
  3. Step 3: Cross multiply
    768,468x = 1,152,708.48 × 269,832
  4. Step 4: Simplify right side
    768,468x = 311,037,634,575.36
  5. Step 5: Solve for x
    x = 311,037,634,575.36/768,468
  6. Step 6: Final answer
    x = 404,750.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.