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Finding the Fourth Proportional to 509,769.82, 703,470.90 and 277,191.74

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Solution

The fourth proportional to 509,769.82, 703,470.90 and 277,191.74 is: 382,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,769.82 : 703,470.90 = 277,191.74 : x
  2. Step 2: Convert to fraction form
    509,769.82/703,470.90 = 277,191.74/x
  3. Step 3: Cross multiply
    509,769.82x = 703,470.90 × 277,191.74
  4. Step 4: Simplify right side
    509,769.82x = 194,996,322,810.37
  5. Step 5: Solve for x
    x = 194,996,322,810.37/509,769.82
  6. Step 6: Final answer
    x = 382,518.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.