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Finding the Fourth Proportional to 514,796.12, 771,649.71 and 190,375.74

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Solution

The fourth proportional to 514,796.12, 771,649.71 and 190,375.74 is: 285,362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,796.12 : 771,649.71 = 190,375.74 : x
  2. Step 2: Convert to fraction form
    514,796.12/771,649.71 = 190,375.74/x
  3. Step 3: Cross multiply
    514,796.12x = 771,649.71 × 190,375.74
  4. Step 4: Simplify right side
    514,796.12x = 146,903,384,562.04
  5. Step 5: Solve for x
    x = 146,903,384,562.04/514,796.12
  6. Step 6: Final answer
    x = 285,362.26

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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.