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Finding the Fourth Proportional to 458,294.85, 632,453.72 and 254,358.92

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Solution

The fourth proportional to 458,294.85, 632,453.72 and 254,358.92 is: 351,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,294.85 : 632,453.72 = 254,358.92 : x
  2. Step 2: Convert to fraction form
    458,294.85/632,453.72 = 254,358.92/x
  3. Step 3: Cross multiply
    458,294.85x = 632,453.72 × 254,358.92
  4. Step 4: Simplify right side
    458,294.85x = 160,870,240,735.12
  5. Step 5: Solve for x
    x = 160,870,240,735.12/458,294.85
  6. Step 6: Final answer
    x = 351,019.09

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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.