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Finding the Fourth Proportional to 587,756.98, 811,193.30 and 358,447.30

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Solution

The fourth proportional to 587,756.98, 811,193.30 and 358,447.30 is: 494,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,756.98 : 811,193.30 = 358,447.30 : x
  2. Step 2: Convert to fraction form
    587,756.98/811,193.30 = 358,447.30/x
  3. Step 3: Cross multiply
    587,756.98x = 811,193.30 × 358,447.30
  4. Step 4: Simplify right side
    587,756.98x = 290,770,048,163.09
  5. Step 5: Solve for x
    x = 290,770,048,163.09/587,756.98
  6. Step 6: Final answer
    x = 494,711.35

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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.