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Finding the Fourth Proportional to 356,475.70, 534,281.55 and 206,427.70

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Solution

The fourth proportional to 356,475.70, 534,281.55 and 206,427.70 is: 309,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,475.70 : 534,281.55 = 206,427.70 : x
  2. Step 2: Convert to fraction form
    356,475.70/534,281.55 = 206,427.70/x
  3. Step 3: Cross multiply
    356,475.70x = 534,281.55 × 206,427.70
  4. Step 4: Simplify right side
    356,475.70x = 110,290,511,518.94
  5. Step 5: Solve for x
    x = 110,290,511,518.94/356,475.70
  6. Step 6: Final answer
    x = 309,391.39

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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.