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Finding the Fourth Proportional to 382,416.40, 573,624.60 and 205,269.40

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Solution

The fourth proportional to 382,416.40, 573,624.60 and 205,269.40 is: 307,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,416.40 : 573,624.60 = 205,269.40 : x
  2. Step 2: Convert to fraction form
    382,416.40/573,624.60 = 205,269.40/x
  3. Step 3: Cross multiply
    382,416.40x = 573,624.60 × 205,269.40
  4. Step 4: Simplify right side
    382,416.40x = 117,747,577,467.24
  5. Step 5: Solve for x
    x = 117,747,577,467.24/382,416.40
  6. Step 6: Final answer
    x = 307,904.10

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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.