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Finding the Fourth Proportional to 402,193.20, 603,370.80 and 117,883.20

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Solution

The fourth proportional to 402,193.20, 603,370.80 and 117,883.20 is: 176,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,193.20 : 603,370.80 = 117,883.20 : x
  2. Step 2: Convert to fraction form
    402,193.20/603,370.80 = 117,883.20/x
  3. Step 3: Cross multiply
    402,193.20x = 603,370.80 × 117,883.20
  4. Step 4: Simplify right side
    402,193.20x = 71,127,280,690.56
  5. Step 5: Solve for x
    x = 71,127,280,690.56/402,193.20
  6. Step 6: Final answer
    x = 176,848.54

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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.