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Finding the Fourth Proportional to 393,265.90, 589,898.85 and 156,778.30

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Solution

The fourth proportional to 393,265.90, 589,898.85 and 156,778.30 is: 235,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,265.90 : 589,898.85 = 156,778.30 : x
  2. Step 2: Convert to fraction form
    393,265.90/589,898.85 = 156,778.30/x
  3. Step 3: Cross multiply
    393,265.90x = 589,898.85 × 156,778.30
  4. Step 4: Simplify right side
    393,265.90x = 92,483,338,874.96
  5. Step 5: Solve for x
    x = 92,483,338,874.96/393,265.90
  6. Step 6: Final answer
    x = 235,167.45

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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.