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Finding the Fourth Proportional to 514,284.84, 771,550.44 and 214,598.73

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Solution

The fourth proportional to 514,284.84, 771,550.44 and 214,598.73 is: 321,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,284.84 : 771,550.44 = 214,598.73 : x
  2. Step 2: Convert to fraction form
    514,284.84/771,550.44 = 214,598.73/x
  3. Step 3: Cross multiply
    514,284.84x = 771,550.44 × 214,598.73
  4. Step 4: Simplify right side
    514,284.84x = 165,573,744,554.94
  5. Step 5: Solve for x
    x = 165,573,744,554.94/514,284.84
  6. Step 6: Final answer
    x = 321,949.50

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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.