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Finding the Fourth Proportional to 537,852.45, 806,837.76 and 177,892.17

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Solution

The fourth proportional to 537,852.45, 806,837.76 and 177,892.17 is: 266,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,852.45 : 806,837.76 = 177,892.17 : x
  2. Step 2: Convert to fraction form
    537,852.45/806,837.76 = 177,892.17/x
  3. Step 3: Cross multiply
    537,852.45x = 806,837.76 × 177,892.17
  4. Step 4: Simplify right side
    537,852.45x = 143,530,119,964.34
  5. Step 5: Solve for x
    x = 143,530,119,964.34/537,852.45
  6. Step 6: Final answer
    x = 266,857.80

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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.