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Finding the Fourth Proportional to 514,794.99, 771,648.04 and 190,374.61

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Solution

The fourth proportional to 514,794.99, 771,648.04 and 190,374.61 is: 285,360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,794.99 : 771,648.04 = 190,374.61 : x
  2. Step 2: Convert to fraction form
    514,794.99/771,648.04 = 190,374.61/x
  3. Step 3: Cross multiply
    514,794.99x = 771,648.04 × 190,374.61
  4. Step 4: Simplify right side
    514,794.99x = 146,902,193,720.39
  5. Step 5: Solve for x
    x = 146,902,193,720.39/514,794.99
  6. Step 6: Final answer
    x = 285,360.57

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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.