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Finding the Fourth Proportional to 413,234.20, 619,559.70 and 188,702.20

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Solution

The fourth proportional to 413,234.20, 619,559.70 and 188,702.20 is: 282,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,234.20 : 619,559.70 = 188,702.20 : x
  2. Step 2: Convert to fraction form
    413,234.20/619,559.70 = 188,702.20/x
  3. Step 3: Cross multiply
    413,234.20x = 619,559.70 × 188,702.20
  4. Step 4: Simplify right side
    413,234.20x = 116,912,278,421.34
  5. Step 5: Solve for x
    x = 116,912,278,421.34/413,234.20
  6. Step 6: Final answer
    x = 282,920.14

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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.