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Finding the Fourth Proportional to 780,428.64, 1,076,969.52 and 458,133.60

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Solution

The fourth proportional to 780,428.64, 1,076,969.52 and 458,133.60 is: 632,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,428.64 : 1,076,969.52 = 458,133.60 : x
  2. Step 2: Convert to fraction form
    780,428.64/1,076,969.52 = 458,133.60/x
  3. Step 3: Cross multiply
    780,428.64x = 1,076,969.52 × 458,133.60
  4. Step 4: Simplify right side
    780,428.64x = 493,395,923,287.87
  5. Step 5: Solve for x
    x = 493,395,923,287.87/780,428.64
  6. Step 6: Final answer
    x = 632,211.45

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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.