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Finding the Fourth Proportional to 403,125.20, 604,104.60 and 178,301.60

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Solution

The fourth proportional to 403,125.20, 604,104.60 and 178,301.60 is: 267,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,125.20 : 604,104.60 = 178,301.60 : x
  2. Step 2: Convert to fraction form
    403,125.20/604,104.60 = 178,301.60/x
  3. Step 3: Cross multiply
    403,125.20x = 604,104.60 × 178,301.60
  4. Step 4: Simplify right side
    403,125.20x = 107,712,816,747.36
  5. Step 5: Solve for x
    x = 107,712,816,747.36/403,125.20
  6. Step 6: Final answer
    x = 267,194.45

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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.