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Finding the Fourth Proportional to 277,085.34, 414,947.61 and 176,949.90

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Solution

The fourth proportional to 277,085.34, 414,947.61 and 176,949.90 is: 264,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,085.34 : 414,947.61 = 176,949.90 : x
  2. Step 2: Convert to fraction form
    277,085.34/414,947.61 = 176,949.90/x
  3. Step 3: Cross multiply
    277,085.34x = 414,947.61 × 176,949.90
  4. Step 4: Simplify right side
    277,085.34x = 73,424,938,094.74
  5. Step 5: Solve for x
    x = 73,424,938,094.74/277,085.34
  6. Step 6: Final answer
    x = 264,990.34

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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.