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Finding the Fourth Proportional to 473,347.80, 709,676.10 and 192,720.60

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Solution

The fourth proportional to 473,347.80, 709,676.10 and 192,720.60 is: 288,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,347.80 : 709,676.10 = 192,720.60 : x
  2. Step 2: Convert to fraction form
    473,347.80/709,676.10 = 192,720.60/x
  3. Step 3: Cross multiply
    473,347.80x = 709,676.10 × 192,720.60
  4. Step 4: Simplify right side
    473,347.80x = 136,769,203,797.66
  5. Step 5: Solve for x
    x = 136,769,203,797.66/473,347.80
  6. Step 6: Final answer
    x = 288,940.19

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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.