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Finding the Fourth Proportional to 577,524.48, 866,110.14 and 203,460

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Solution

The fourth proportional to 577,524.48, 866,110.14 and 203,460 is: 305,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,524.48 : 866,110.14 = 203,460 : x
  2. Step 2: Convert to fraction form
    577,524.48/866,110.14 = 203,460/x
  3. Step 3: Cross multiply
    577,524.48x = 866,110.14 × 203,460
  4. Step 4: Simplify right side
    577,524.48x = 176,218,769,084.40
  5. Step 5: Solve for x
    x = 176,218,769,084.40/577,524.48
  6. Step 6: Final answer
    x = 305,127.79

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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.