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Finding the Fourth Proportional to 521,678.40, 782,776.80 and 206,145.60

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Solution

The fourth proportional to 521,678.40, 782,776.80 and 206,145.60 is: 309,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,678.40 : 782,776.80 = 206,145.60 : x
  2. Step 2: Convert to fraction form
    521,678.40/782,776.80 = 206,145.60/x
  3. Step 3: Cross multiply
    521,678.40x = 782,776.80 × 206,145.60
  4. Step 4: Simplify right side
    521,678.40x = 161,365,993,102.08
  5. Step 5: Solve for x
    x = 161,365,993,102.08/521,678.40
  6. Step 6: Final answer
    x = 309,320.83

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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.