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Finding the Fourth Proportional to 403,261.20, 604,308.60 and 178,437.60

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Solution

The fourth proportional to 403,261.20, 604,308.60 and 178,437.60 is: 267,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,261.20 : 604,308.60 = 178,437.60 : x
  2. Step 2: Convert to fraction form
    403,261.20/604,308.60 = 178,437.60/x
  3. Step 3: Cross multiply
    403,261.20x = 604,308.60 × 178,437.60
  4. Step 4: Simplify right side
    403,261.20x = 107,831,376,243.36
  5. Step 5: Solve for x
    x = 107,831,376,243.36/403,261.20
  6. Step 6: Final answer
    x = 267,398.34

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Why These Related Problems?

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