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Finding the Fourth Proportional to 353,101.84, 487,351.36 and 209,834.20

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Solution

The fourth proportional to 353,101.84, 487,351.36 and 209,834.20 is: 289,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,101.84 : 487,351.36 = 209,834.20 : x
  2. Step 2: Convert to fraction form
    353,101.84/487,351.36 = 209,834.20/x
  3. Step 3: Cross multiply
    353,101.84x = 487,351.36 × 209,834.20
  4. Step 4: Simplify right side
    353,101.84x = 102,262,982,744.51
  5. Step 5: Solve for x
    x = 102,262,982,744.51/353,101.84
  6. Step 6: Final answer
    x = 289,613.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.