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Finding the Fourth Proportional to 604,103.62, 906,309.20 and 177,654.57

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Solution

The fourth proportional to 604,103.62, 906,309.20 and 177,654.57 is: 266,527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,103.62 : 906,309.20 = 177,654.57 : x
  2. Step 2: Convert to fraction form
    604,103.62/906,309.20 = 177,654.57/x
  3. Step 3: Cross multiply
    604,103.62x = 906,309.20 × 177,654.57
  4. Step 4: Simplify right side
    604,103.62x = 161,009,968,258.52
  5. Step 5: Solve for x
    x = 161,009,968,258.52/604,103.62
  6. Step 6: Final answer
    x = 266,527.07

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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.