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Finding the Fourth Proportional to 652,290.75, 978,528.42 and 203,057.03

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Solution

The fourth proportional to 652,290.75, 978,528.42 and 203,057.03 is: 304,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,290.75 : 978,528.42 = 203,057.03 : x
  2. Step 2: Convert to fraction form
    652,290.75/978,528.42 = 203,057.03/x
  3. Step 3: Cross multiply
    652,290.75x = 978,528.42 × 203,057.03
  4. Step 4: Simplify right side
    652,290.75x = 198,697,072,248.99
  5. Step 5: Solve for x
    x = 198,697,072,248.99/652,290.75
  6. Step 6: Final answer
    x = 304,614.27

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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.