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Finding the Fourth Proportional to 521,313.17, 782,031.31 and 166,202.69

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Solution

The fourth proportional to 521,313.17, 782,031.31 and 166,202.69 is: 249,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,313.17 : 782,031.31 = 166,202.69 : x
  2. Step 2: Convert to fraction form
    521,313.17/782,031.31 = 166,202.69/x
  3. Step 3: Cross multiply
    521,313.17x = 782,031.31 × 166,202.69
  4. Step 4: Simplify right side
    521,313.17x = 129,975,703,060.56
  5. Step 5: Solve for x
    x = 129,975,703,060.56/521,313.17
  6. Step 6: Final answer
    x = 249,323.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.