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Finding the Fourth Proportional to 714,029.82, 985,353.03 and 412,217.34

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Solution

The fourth proportional to 714,029.82, 985,353.03 and 412,217.34 is: 568,855.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,029.82 : 985,353.03 = 412,217.34 : x
  2. Step 2: Convert to fraction form
    714,029.82/985,353.03 = 412,217.34/x
  3. Step 3: Cross multiply
    714,029.82x = 985,353.03 × 412,217.34
  4. Step 4: Simplify right side
    714,029.82x = 406,179,604,987.54
  5. Step 5: Solve for x
    x = 406,179,604,987.54/714,029.82
  6. Step 6: Final answer
    x = 568,855.24

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1.5x scale

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.