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Finding the Fourth Proportional to 489,158.60, 732,863.10 and 419,174.60

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Solution

The fourth proportional to 489,158.60, 732,863.10 and 419,174.60 is: 628,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,158.60 : 732,863.10 = 419,174.60 : x
  2. Step 2: Convert to fraction form
    489,158.60/732,863.10 = 419,174.60/x
  3. Step 3: Cross multiply
    489,158.60x = 732,863.10 × 419,174.60
  4. Step 4: Simplify right side
    489,158.60x = 307,197,596,797.26
  5. Step 5: Solve for x
    x = 307,197,596,797.26/489,158.60
  6. Step 6: Final answer
    x = 628,012.26

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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.