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Finding the Fourth Proportional to 652,291.82, 978,530 and 203,058.03

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Solution

The fourth proportional to 652,291.82, 978,530 and 203,058.03 is: 304,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,291.82 : 978,530 = 203,058.03 : x
  2. Step 2: Convert to fraction form
    652,291.82/978,530 = 203,058.03/x
  3. Step 3: Cross multiply
    652,291.82x = 978,530 × 203,058.03
  4. Step 4: Simplify right side
    652,291.82x = 198,698,374,095.90
  5. Step 5: Solve for x
    x = 198,698,374,095.90/652,291.82
  6. Step 6: Final answer
    x = 304,615.77

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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.