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Finding the Fourth Proportional to 353,408.16, 530,282.52 and 175,930.80

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Solution

The fourth proportional to 353,408.16, 530,282.52 and 175,930.80 is: 263,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,408.16 : 530,282.52 = 175,930.80 : x
  2. Step 2: Convert to fraction form
    353,408.16/530,282.52 = 175,930.80/x
  3. Step 3: Cross multiply
    353,408.16x = 530,282.52 × 175,930.80
  4. Step 4: Simplify right side
    353,408.16x = 93,293,027,969.62
  5. Step 5: Solve for x
    x = 93,293,027,969.62/353,408.16
  6. Step 6: Final answer
    x = 263,980.97

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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.