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Finding the Fourth Proportional to 277,029.90, 414,961.65 and 230,373.90

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Solution

The fourth proportional to 277,029.90, 414,961.65 and 230,373.90 is: 345,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,029.90 : 414,961.65 = 230,373.90 : x
  2. Step 2: Convert to fraction form
    277,029.90/414,961.65 = 230,373.90/x
  3. Step 3: Cross multiply
    277,029.90x = 414,961.65 × 230,373.90
  4. Step 4: Simplify right side
    277,029.90x = 95,596,333,660.94
  5. Step 5: Solve for x
    x = 95,596,333,660.94/277,029.90
  6. Step 6: Final answer
    x = 345,075.87

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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.