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Finding the Fourth Proportional to 538,556.58, 807,855.37 and 201,561.75

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Solution

The fourth proportional to 538,556.58, 807,855.37 and 201,561.75 is: 302,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,556.58 : 807,855.37 = 201,561.75 : x
  2. Step 2: Convert to fraction form
    538,556.58/807,855.37 = 201,561.75/x
  3. Step 3: Cross multiply
    538,556.58x = 807,855.37 × 201,561.75
  4. Step 4: Simplify right side
    538,556.58x = 162,832,742,124.10
  5. Step 5: Solve for x
    x = 162,832,742,124.10/538,556.58
  6. Step 6: Final answer
    x = 302,350.30

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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.