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Finding the Fourth Proportional to 411,032.46, 616,481.46 and 144,730.38

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Solution

The fourth proportional to 411,032.46, 616,481.46 and 144,730.38 is: 217,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,032.46 : 616,481.46 = 144,730.38 : x
  2. Step 2: Convert to fraction form
    411,032.46/616,481.46 = 144,730.38/x
  3. Step 3: Cross multiply
    411,032.46x = 616,481.46 × 144,730.38
  4. Step 4: Simplify right side
    411,032.46x = 89,223,595,968.75
  5. Step 5: Solve for x
    x = 89,223,595,968.75/411,032.46
  6. Step 6: Final answer
    x = 217,071.90

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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.