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Finding the Fourth Proportional to 402,227.70, 603,422.55 and 117,917.70

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Solution

The fourth proportional to 402,227.70, 603,422.55 and 117,917.70 is: 176,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,227.70 : 603,422.55 = 117,917.70 : x
  2. Step 2: Convert to fraction form
    402,227.70/603,422.55 = 117,917.70/x
  3. Step 3: Cross multiply
    402,227.70x = 603,422.55 × 117,917.70
  4. Step 4: Simplify right side
    402,227.70x = 71,154,199,224.14
  5. Step 5: Solve for x
    x = 71,154,199,224.14/402,227.70
  6. Step 6: Final answer
    x = 176,900.30

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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.