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Finding the Fourth Proportional to 310,918.80, 465,722.10 and 277,676.40

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Solution

The fourth proportional to 310,918.80, 465,722.10 and 277,676.40 is: 415,928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,918.80 : 465,722.10 = 277,676.40 : x
  2. Step 2: Convert to fraction form
    310,918.80/465,722.10 = 277,676.40/x
  3. Step 3: Cross multiply
    310,918.80x = 465,722.10 × 277,676.40
  4. Step 4: Simplify right side
    310,918.80x = 129,320,036,128.44
  5. Step 5: Solve for x
    x = 129,320,036,128.44/310,918.80
  6. Step 6: Final answer
    x = 415,928.65

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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.