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Finding the Fourth Proportional to 780,429, 1,076,992.02 and 422,733

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Solution

The fourth proportional to 780,429, 1,076,992.02 and 422,733 is: 583,371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,429 : 1,076,992.02 = 422,733 : x
  2. Step 2: Convert to fraction form
    780,429/1,076,992.02 = 422,733/x
  3. Step 3: Cross multiply
    780,429x = 1,076,992.02 × 422,733
  4. Step 4: Simplify right side
    780,429x = 455,280,067,590.66
  5. Step 5: Solve for x
    x = 455,280,067,590.66/780,429
  6. Step 6: Final answer
    x = 583,371.54

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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.