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Finding the Fourth Proportional to 487,540.84, 731,402.82 and 221,320.06

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Solution

The fourth proportional to 487,540.84, 731,402.82 and 221,320.06 is: 332,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,540.84 : 731,402.82 = 221,320.06 : x
  2. Step 2: Convert to fraction form
    487,540.84/731,402.82 = 221,320.06/x
  3. Step 3: Cross multiply
    487,540.84x = 731,402.82 × 221,320.06
  4. Step 4: Simplify right side
    487,540.84x = 161,874,116,006.57
  5. Step 5: Solve for x
    x = 161,874,116,006.57/487,540.84
  6. Step 6: Final answer
    x = 332,021.65

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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.