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Finding the Fourth Proportional to 402,907.35, 604,295.30 and 118,531.37

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Solution

The fourth proportional to 402,907.35, 604,295.30 and 118,531.37 is: 177,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,907.35 : 604,295.30 = 118,531.37 : x
  2. Step 2: Convert to fraction form
    402,907.35/604,295.30 = 118,531.37/x
  3. Step 3: Cross multiply
    402,907.35x = 604,295.30 × 118,531.37
  4. Step 4: Simplify right side
    402,907.35x = 71,627,946,179.43
  5. Step 5: Solve for x
    x = 71,627,946,179.43/402,907.35
  6. Step 6: Final answer
    x = 177,777.71

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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.