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Finding the Fourth Proportional to 442,566.72, 663,847.88 and 382,412.14

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Solution

The fourth proportional to 442,566.72, 663,847.88 and 382,412.14 is: 573,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,566.72 : 663,847.88 = 382,412.14 : x
  2. Step 2: Convert to fraction form
    442,566.72/663,847.88 = 382,412.14/x
  3. Step 3: Cross multiply
    442,566.72x = 663,847.88 × 382,412.14
  4. Step 4: Simplify right side
    442,566.72x = 253,863,485,106.02
  5. Step 5: Solve for x
    x = 253,863,485,106.02/442,566.72
  6. Step 6: Final answer
    x = 573,616.31

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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.