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Finding the Fourth Proportional to 521,587.80, 782,187.30 and 205,979.40

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Solution

The fourth proportional to 521,587.80, 782,187.30 and 205,979.40 is: 308,892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,587.80 : 782,187.30 = 205,979.40 : x
  2. Step 2: Convert to fraction form
    521,587.80/782,187.30 = 205,979.40/x
  3. Step 3: Cross multiply
    521,587.80x = 782,187.30 × 205,979.40
  4. Step 4: Simplify right side
    521,587.80x = 161,114,470,741.62
  5. Step 5: Solve for x
    x = 161,114,470,741.62/521,587.80
  6. Step 6: Final answer
    x = 308,892.33

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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.