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Finding the Fourth Proportional to 442,808.20, 664,298.70 and 190,088.20

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Solution

The fourth proportional to 442,808.20, 664,298.70 and 190,088.20 is: 285,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,808.20 : 664,298.70 = 190,088.20 : x
  2. Step 2: Convert to fraction form
    442,808.20/664,298.70 = 190,088.20/x
  3. Step 3: Cross multiply
    442,808.20x = 664,298.70 × 190,088.20
  4. Step 4: Simplify right side
    442,808.20x = 126,275,344,145.34
  5. Step 5: Solve for x
    x = 126,275,344,145.34/442,808.20
  6. Step 6: Final answer
    x = 285,169.39

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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.