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Finding the Fourth Proportional to 493,971.40, 740,957.10 and 178,438.60

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Solution

The fourth proportional to 493,971.40, 740,957.10 and 178,438.60 is: 267,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,971.40 : 740,957.10 = 178,438.60 : x
  2. Step 2: Convert to fraction form
    493,971.40/740,957.10 = 178,438.60/x
  3. Step 3: Cross multiply
    493,971.40x = 740,957.10 × 178,438.60
  4. Step 4: Simplify right side
    493,971.40x = 132,215,347,584.06
  5. Step 5: Solve for x
    x = 132,215,347,584.06/493,971.40
  6. Step 6: Final answer
    x = 267,657.90

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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.