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Finding the Fourth Proportional to 402,946.92, 604,212.28 and 118,600.44

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Solution

The fourth proportional to 402,946.92, 604,212.28 and 118,600.44 is: 177,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,946.92 : 604,212.28 = 118,600.44 : x
  2. Step 2: Convert to fraction form
    402,946.92/604,212.28 = 118,600.44/x
  3. Step 3: Cross multiply
    402,946.92x = 604,212.28 × 118,600.44
  4. Step 4: Simplify right side
    402,946.92x = 71,659,842,261.40
  5. Step 5: Solve for x
    x = 71,659,842,261.40/402,946.92
  6. Step 6: Final answer
    x = 177,839.41

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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.