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Finding the Fourth Proportional to 353,829.40, 530,744.10 and 204,530.20

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Solution

The fourth proportional to 353,829.40, 530,744.10 and 204,530.20 is: 306,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,829.40 : 530,744.10 = 204,530.20 : x
  2. Step 2: Convert to fraction form
    353,829.40/530,744.10 = 204,530.20/x
  3. Step 3: Cross multiply
    353,829.40x = 530,744.10 × 204,530.20
  4. Step 4: Simplify right side
    353,829.40x = 108,553,196,921.82
  5. Step 5: Solve for x
    x = 108,553,196,921.82/353,829.40
  6. Step 6: Final answer
    x = 306,795.30

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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.