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Finding the Fourth Proportional to 577,409.92, 866,059.16 and 177,943.43

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Solution

The fourth proportional to 577,409.92, 866,059.16 and 177,943.43 is: 266,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,409.92 : 866,059.16 = 177,943.43 : x
  2. Step 2: Convert to fraction form
    577,409.92/866,059.16 = 177,943.43/x
  3. Step 3: Cross multiply
    577,409.92x = 866,059.16 × 177,943.43
  4. Step 4: Simplify right side
    577,409.92x = 154,109,538,788.75
  5. Step 5: Solve for x
    x = 154,109,538,788.75/577,409.92
  6. Step 6: Final answer
    x = 266,897.98

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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.