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Finding the Fourth Proportional to 428,492, 591,072.72 and 267,269.60

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Solution

The fourth proportional to 428,492, 591,072.72 and 267,269.60 is: 368,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,492 : 591,072.72 = 267,269.60 : x
  2. Step 2: Convert to fraction form
    428,492/591,072.72 = 267,269.60/x
  3. Step 3: Cross multiply
    428,492x = 591,072.72 × 267,269.60
  4. Step 4: Simplify right side
    428,492x = 157,975,769,445.31
  5. Step 5: Solve for x
    x = 157,975,769,445.31/428,492
  6. Step 6: Final answer
    x = 368,678.46

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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.