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Finding the Fourth Proportional to 402,223.20, 603,415.80 and 117,913.20

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Solution

The fourth proportional to 402,223.20, 603,415.80 and 117,913.20 is: 176,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,223.20 : 603,415.80 = 117,913.20 : x
  2. Step 2: Convert to fraction form
    402,223.20/603,415.80 = 117,913.20/x
  3. Step 3: Cross multiply
    402,223.20x = 603,415.80 × 117,913.20
  4. Step 4: Simplify right side
    402,223.20x = 71,150,687,908.56
  5. Step 5: Solve for x
    x = 71,150,687,908.56/402,223.20
  6. Step 6: Final answer
    x = 176,893.55

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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.