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Finding the Fourth Proportional to 411,504.16, 567,964.56 and 250,411

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Solution

The fourth proportional to 411,504.16, 567,964.56 and 250,411 is: 345,621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,504.16 : 567,964.56 = 250,411 : x
  2. Step 2: Convert to fraction form
    411,504.16/567,964.56 = 250,411/x
  3. Step 3: Cross multiply
    411,504.16x = 567,964.56 × 250,411
  4. Step 4: Simplify right side
    411,504.16x = 142,224,573,434.16
  5. Step 5: Solve for x
    x = 142,224,573,434.16/411,504.16
  6. Step 6: Final answer
    x = 345,621.23

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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.