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Finding the Fourth Proportional to 411,251.46, 616,889.34 and 111,730.47

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Solution

The fourth proportional to 411,251.46, 616,889.34 and 111,730.47 is: 167,599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,251.46 : 616,889.34 = 111,730.47 : x
  2. Step 2: Convert to fraction form
    411,251.46/616,889.34 = 111,730.47/x
  3. Step 3: Cross multiply
    411,251.46x = 616,889.34 × 111,730.47
  4. Step 4: Simplify right side
    411,251.46x = 68,925,335,896.19
  5. Step 5: Solve for x
    x = 68,925,335,896.19/411,251.46
  6. Step 6: Final answer
    x = 167,599.01

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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.