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Finding the Fourth Proportional to 397,569.20, 596,353.80 and 148,218.80

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Solution

The fourth proportional to 397,569.20, 596,353.80 and 148,218.80 is: 222,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,569.20 : 596,353.80 = 148,218.80 : x
  2. Step 2: Convert to fraction form
    397,569.20/596,353.80 = 148,218.80/x
  3. Step 3: Cross multiply
    397,569.20x = 596,353.80 × 148,218.80
  4. Step 4: Simplify right side
    397,569.20x = 88,390,844,611.44
  5. Step 5: Solve for x
    x = 88,390,844,611.44/397,569.20
  6. Step 6: Final answer
    x = 222,328.20

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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.