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Finding the Fourth Proportional to 402,655.41, 603,983.24 and 118,346.01

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Solution

The fourth proportional to 402,655.41, 603,983.24 and 118,346.01 is: 177,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,655.41 : 603,983.24 = 118,346.01 : x
  2. Step 2: Convert to fraction form
    402,655.41/603,983.24 = 118,346.01/x
  3. Step 3: Cross multiply
    402,655.41x = 603,983.24 × 118,346.01
  4. Step 4: Simplify right side
    402,655.41x = 71,479,004,591.80
  5. Step 5: Solve for x
    x = 71,479,004,591.80/402,655.41
  6. Step 6: Final answer
    x = 177,519.05

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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.