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Finding the Fourth Proportional to 260,438.40, 390,657.60 and 82,929.60

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Solution

The fourth proportional to 260,438.40, 390,657.60 and 82,929.60 is: 124,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,438.40 : 390,657.60 = 82,929.60 : x
  2. Step 2: Convert to fraction form
    260,438.40/390,657.60 = 82,929.60/x
  3. Step 3: Cross multiply
    260,438.40x = 390,657.60 × 82,929.60
  4. Step 4: Simplify right side
    260,438.40x = 32,397,078,504.96
  5. Step 5: Solve for x
    x = 32,397,078,504.96/260,438.40
  6. Step 6: Final answer
    x = 124,394.40

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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.