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Finding the Fourth Proportional to 652,194.80, 978,292.20 and 415,998.80

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Solution

The fourth proportional to 652,194.80, 978,292.20 and 415,998.80 is: 623,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,194.80 : 978,292.20 = 415,998.80 : x
  2. Step 2: Convert to fraction form
    652,194.80/978,292.20 = 415,998.80/x
  3. Step 3: Cross multiply
    652,194.80x = 978,292.20 × 415,998.80
  4. Step 4: Simplify right side
    652,194.80x = 406,968,381,249.36
  5. Step 5: Solve for x
    x = 406,968,381,249.36/652,194.80
  6. Step 6: Final answer
    x = 623,998.20

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Similar ratio
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1.5x scale

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.