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Finding the Fourth Proportional to 370,166.44, 510,829.90 and 200,400.64

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Solution

The fourth proportional to 370,166.44, 510,829.90 and 200,400.64 is: 276,553.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,166.44 : 510,829.90 = 200,400.64 : x
  2. Step 2: Convert to fraction form
    370,166.44/510,829.90 = 200,400.64/x
  3. Step 3: Cross multiply
    370,166.44x = 510,829.90 × 200,400.64
  4. Step 4: Simplify right side
    370,166.44x = 102,370,638,891.14
  5. Step 5: Solve for x
    x = 102,370,638,891.14/370,166.44
  6. Step 6: Final answer
    x = 276,553.00

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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.