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Finding the Fourth Proportional to 514,496.12, 771,830.97 and 177,446.61

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Solution

The fourth proportional to 514,496.12, 771,830.97 and 177,446.61 is: 266,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,496.12 : 771,830.97 = 177,446.61 : x
  2. Step 2: Convert to fraction form
    514,496.12/771,830.97 = 177,446.61/x
  3. Step 3: Cross multiply
    514,496.12x = 771,830.97 × 177,446.61
  4. Step 4: Simplify right side
    514,496.12x = 136,958,789,119.51
  5. Step 5: Solve for x
    x = 136,958,789,119.51/514,496.12
  6. Step 6: Final answer
    x = 266,199.85

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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.