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Finding the Fourth Proportional to 587,756, 811,191.94 and 358,446.32

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Solution

The fourth proportional to 587,756, 811,191.94 and 358,446.32 is: 494,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,756 : 811,191.94 = 358,446.32 : x
  2. Step 2: Convert to fraction form
    587,756/811,191.94 = 358,446.32/x
  3. Step 3: Cross multiply
    587,756x = 811,191.94 × 358,446.32
  4. Step 4: Simplify right side
    587,756x = 290,768,765,706.66
  5. Step 5: Solve for x
    x = 290,768,765,706.66/587,756
  6. Step 6: Final answer
    x = 494,709.99

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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.