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Finding the Fourth Proportional to 475,136.70, 712,482.33 and 275,513.82

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Solution

The fourth proportional to 475,136.70, 712,482.33 and 275,513.82 is: 413,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,136.70 : 712,482.33 = 275,513.82 : x
  2. Step 2: Convert to fraction form
    475,136.70/712,482.33 = 275,513.82/x
  3. Step 3: Cross multiply
    475,136.70x = 712,482.33 × 275,513.82
  4. Step 4: Simplify right side
    475,136.70x = 196,298,728,420.80
  5. Step 5: Solve for x
    x = 196,298,728,420.80/475,136.70
  6. Step 6: Final answer
    x = 413,141.58

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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.