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Finding the Fourth Proportional to 521,577.20, 782,365.80 and 205,871.60

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Solution

The fourth proportional to 521,577.20, 782,365.80 and 205,871.60 is: 308,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,577.20 : 782,365.80 = 205,871.60 : x
  2. Step 2: Convert to fraction form
    521,577.20/782,365.80 = 205,871.60/x
  3. Step 3: Cross multiply
    521,577.20x = 782,365.80 × 205,871.60
  4. Step 4: Simplify right side
    521,577.20x = 161,066,899,031.28
  5. Step 5: Solve for x
    x = 161,066,899,031.28/521,577.20
  6. Step 6: Final answer
    x = 308,807.40

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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.