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Finding the Fourth Proportional to 200,406.88, 300,539.42 and 58,222.58

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Solution

The fourth proportional to 200,406.88, 300,539.42 and 58,222.58 is: 87,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,406.88 : 300,539.42 = 58,222.58 : x
  2. Step 2: Convert to fraction form
    200,406.88/300,539.42 = 58,222.58/x
  3. Step 3: Cross multiply
    200,406.88x = 300,539.42 × 58,222.58
  4. Step 4: Simplify right side
    200,406.88x = 17,498,180,424.10
  5. Step 5: Solve for x
    x = 17,498,180,424.10/200,406.88
  6. Step 6: Final answer
    x = 87,313.27

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1.5x scale

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.