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Finding the Fourth Proportional to 403,217.60, 604,802.08 and 178,512.32

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Solution

The fourth proportional to 403,217.60, 604,802.08 and 178,512.32 is: 267,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,217.60 : 604,802.08 = 178,512.32 : x
  2. Step 2: Convert to fraction form
    403,217.60/604,802.08 = 178,512.32/x
  3. Step 3: Cross multiply
    403,217.60x = 604,802.08 × 178,512.32
  4. Step 4: Simplify right side
    403,217.60x = 107,964,622,441.63
  5. Step 5: Solve for x
    x = 107,964,622,441.63/403,217.60
  6. Step 6: Final answer
    x = 267,757.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.