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Finding the Fourth Proportional to 386,405.80, 579,608.70 and 196,865.80

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Solution

The fourth proportional to 386,405.80, 579,608.70 and 196,865.80 is: 295,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,405.80 : 579,608.70 = 196,865.80 : x
  2. Step 2: Convert to fraction form
    386,405.80/579,608.70 = 196,865.80/x
  3. Step 3: Cross multiply
    386,405.80x = 579,608.70 × 196,865.80
  4. Step 4: Simplify right side
    386,405.80x = 114,105,130,412.46
  5. Step 5: Solve for x
    x = 114,105,130,412.46/386,405.80
  6. Step 6: Final answer
    x = 295,298.70

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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.