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Finding the Fourth Proportional to 534,120, 800,557.44 and 297,349.44

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Solution

The fourth proportional to 534,120, 800,557.44 and 297,349.44 is: 445,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,120 : 800,557.44 = 297,349.44 : x
  2. Step 2: Convert to fraction form
    534,120/800,557.44 = 297,349.44/x
  3. Step 3: Cross multiply
    534,120x = 800,557.44 × 297,349.44
  4. Step 4: Simplify right side
    534,120x = 238,045,306,471.83
  5. Step 5: Solve for x
    x = 238,045,306,471.83/534,120
  6. Step 6: Final answer
    x = 445,677.58

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1.5x scale

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.