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Finding the Fourth Proportional to 402,415.29, 603,716.22 and 118,094.31

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Solution

The fourth proportional to 402,415.29, 603,716.22 and 118,094.31 is: 177,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,415.29 : 603,716.22 = 118,094.31 : x
  2. Step 2: Convert to fraction form
    402,415.29/603,716.22 = 118,094.31/x
  3. Step 3: Cross multiply
    402,415.29x = 603,716.22 × 118,094.31
  4. Step 4: Simplify right side
    402,415.29x = 71,295,450,436.71
  5. Step 5: Solve for x
    x = 71,295,450,436.71/402,415.29
  6. Step 6: Final answer
    x = 177,168.84

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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.