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Finding the Fourth Proportional to 780,126.75, 1,076,574.92 and 422,430.75

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Solution

The fourth proportional to 780,126.75, 1,076,574.92 and 422,430.75 is: 582,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,126.75 : 1,076,574.92 = 422,430.75 : x
  2. Step 2: Convert to fraction form
    780,126.75/1,076,574.92 = 422,430.75/x
  3. Step 3: Cross multiply
    780,126.75x = 1,076,574.92 × 422,430.75
  4. Step 4: Simplify right side
    780,126.75x = 454,778,348,774.64
  5. Step 5: Solve for x
    x = 454,778,348,774.64/780,126.75
  6. Step 6: Final answer
    x = 582,954.44

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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.