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Finding the Fourth Proportional to 402,945.92, 604,210.78 and 118,599.44

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Solution

The fourth proportional to 402,945.92, 604,210.78 and 118,599.44 is: 177,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,945.92 : 604,210.78 = 118,599.44 : x
  2. Step 2: Convert to fraction form
    402,945.92/604,210.78 = 118,599.44/x
  3. Step 3: Cross multiply
    402,945.92x = 604,210.78 × 118,599.44
  4. Step 4: Simplify right side
    402,945.92x = 71,659,060,149.96
  5. Step 5: Solve for x
    x = 71,659,060,149.96/402,945.92
  6. Step 6: Final answer
    x = 177,837.91

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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.