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Finding the Fourth Proportional to 756,247, 1,043,642.82 and 416,737.12

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Solution

The fourth proportional to 756,247, 1,043,642.82 and 416,737.12 is: 575,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,247 : 1,043,642.82 = 416,737.12 : x
  2. Step 2: Convert to fraction form
    756,247/1,043,642.82 = 416,737.12/x
  3. Step 3: Cross multiply
    756,247x = 1,043,642.82 × 416,737.12
  4. Step 4: Simplify right side
    756,247x = 434,924,703,115.48
  5. Step 5: Solve for x
    x = 434,924,703,115.48/756,247
  6. Step 6: Final answer
    x = 575,109.33

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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.