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Finding the Fourth Proportional to 652,233.54, 978,341.19 and 226,079.58

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Solution

The fourth proportional to 652,233.54, 978,341.19 and 226,079.58 is: 339,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,233.54 : 978,341.19 = 226,079.58 : x
  2. Step 2: Convert to fraction form
    652,233.54/978,341.19 = 226,079.58/x
  3. Step 3: Cross multiply
    652,233.54x = 978,341.19 × 226,079.58
  4. Step 4: Simplify right side
    652,233.54x = 221,182,965,331.90
  5. Step 5: Solve for x
    x = 221,182,965,331.90/652,233.54
  6. Step 6: Final answer
    x = 339,116.21

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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.