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Finding the Fourth Proportional to 514,230.33, 771,112.20 and 334,138.17

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Solution

The fourth proportional to 514,230.33, 771,112.20 and 334,138.17 is: 501,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,230.33 : 771,112.20 = 334,138.17 : x
  2. Step 2: Convert to fraction form
    514,230.33/771,112.20 = 334,138.17/x
  3. Step 3: Cross multiply
    514,230.33x = 771,112.20 × 334,138.17
  4. Step 4: Simplify right side
    514,230.33x = 257,658,019,372.67
  5. Step 5: Solve for x
    x = 257,658,019,372.67/514,230.33
  6. Step 6: Final answer
    x = 501,055.66

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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.