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Finding the Fourth Proportional to 652,290.82, 978,528.50 and 203,057.03

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Solution

The fourth proportional to 652,290.82, 978,528.50 and 203,057.03 is: 304,614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,290.82 : 978,528.50 = 203,057.03 : x
  2. Step 2: Convert to fraction form
    652,290.82/978,528.50 = 203,057.03/x
  3. Step 3: Cross multiply
    652,290.82x = 978,528.50 × 203,057.03
  4. Step 4: Simplify right side
    652,290.82x = 198,697,087,668.63
  5. Step 5: Solve for x
    x = 198,697,087,668.63/652,290.82
  6. Step 6: Final answer
    x = 304,614.26

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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.