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Finding the Fourth Proportional to 349,162.52, 481,830.72 and 213,423.74

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Solution

The fourth proportional to 349,162.52, 481,830.72 and 213,423.74 is: 294,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,162.52 : 481,830.72 = 213,423.74 : x
  2. Step 2: Convert to fraction form
    349,162.52/481,830.72 = 213,423.74/x
  3. Step 3: Cross multiply
    349,162.52x = 481,830.72 × 213,423.74
  4. Step 4: Simplify right side
    349,162.52x = 102,834,114,309.29
  5. Step 5: Solve for x
    x = 102,834,114,309.29/349,162.52
  6. Step 6: Final answer
    x = 294,516.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.