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Finding the Fourth Proportional to 294,277.50, 441,420.35 and 83,915.44

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Solution

The fourth proportional to 294,277.50, 441,420.35 and 83,915.44 is: 125,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,277.50 : 441,420.35 = 83,915.44 : x
  2. Step 2: Convert to fraction form
    294,277.50/441,420.35 = 83,915.44/x
  3. Step 3: Cross multiply
    294,277.50x = 441,420.35 × 83,915.44
  4. Step 4: Simplify right side
    294,277.50x = 37,041,981,372.08
  5. Step 5: Solve for x
    x = 37,041,981,372.08/294,277.50
  6. Step 6: Final answer
    x = 125,874.32

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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.