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Finding the Fourth Proportional to 403,827.40, 557,274.18 and 234,077.32

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Solution

The fourth proportional to 403,827.40, 557,274.18 and 234,077.32 is: 323,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,827.40 : 557,274.18 = 234,077.32 : x
  2. Step 2: Convert to fraction form
    403,827.40/557,274.18 = 234,077.32/x
  3. Step 3: Cross multiply
    403,827.40x = 557,274.18 × 234,077.32
  4. Step 4: Simplify right side
    403,827.40x = 130,445,246,559.60
  5. Step 5: Solve for x
    x = 130,445,246,559.60/403,827.40
  6. Step 6: Final answer
    x = 323,022.28

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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.