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Finding the Fourth Proportional to 362,292.60, 543,438.90 and 228,739.80

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Solution

The fourth proportional to 362,292.60, 543,438.90 and 228,739.80 is: 343,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,292.60 : 543,438.90 = 228,739.80 : x
  2. Step 2: Convert to fraction form
    362,292.60/543,438.90 = 228,739.80/x
  3. Step 3: Cross multiply
    362,292.60x = 543,438.90 × 228,739.80
  4. Step 4: Simplify right side
    362,292.60x = 124,306,105,298.22
  5. Step 5: Solve for x
    x = 124,306,105,298.22/362,292.60
  6. Step 6: Final answer
    x = 343,109.70

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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.