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Finding the Fourth Proportional to 353,044.56, 529,269.21 and 153,214.42

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Solution

The fourth proportional to 353,044.56, 529,269.21 and 153,214.42 is: 229,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,044.56 : 529,269.21 = 153,214.42 : x
  2. Step 2: Convert to fraction form
    353,044.56/529,269.21 = 153,214.42/x
  3. Step 3: Cross multiply
    353,044.56x = 529,269.21 × 153,214.42
  4. Step 4: Simplify right side
    353,044.56x = 81,091,675,034.01
  5. Step 5: Solve for x
    x = 81,091,675,034.01/353,044.56
  6. Step 6: Final answer
    x = 229,692.47

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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.