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Finding the Fourth Proportional to 512,095.46, 707,024.60 and 458,287.96

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Solution

The fourth proportional to 512,095.46, 707,024.60 and 458,287.96 is: 632,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,095.46 : 707,024.60 = 458,287.96 : x
  2. Step 2: Convert to fraction form
    512,095.46/707,024.60 = 458,287.96/x
  3. Step 3: Cross multiply
    512,095.46x = 707,024.60 × 458,287.96
  4. Step 4: Simplify right side
    512,095.46x = 324,020,861,603.82
  5. Step 5: Solve for x
    x = 324,020,861,603.82/512,095.46
  6. Step 6: Final answer
    x = 632,735.27

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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.