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Finding the Fourth Proportional to 780,264, 1,076,764.32 and 422,568

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Solution

The fourth proportional to 780,264, 1,076,764.32 and 422,568 is: 583,143.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,264 : 1,076,764.32 = 422,568 : x
  2. Step 2: Convert to fraction form
    780,264/1,076,764.32 = 422,568/x
  3. Step 3: Cross multiply
    780,264x = 1,076,764.32 × 422,568
  4. Step 4: Simplify right side
    780,264x = 455,006,145,173.76
  5. Step 5: Solve for x
    x = 455,006,145,173.76/780,264
  6. Step 6: Final answer
    x = 583,143.84

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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.