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Finding the Fourth Proportional to 362,295.60, 543,443.40 and 228,742.80

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Solution

The fourth proportional to 362,295.60, 543,443.40 and 228,742.80 is: 343,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,295.60 : 543,443.40 = 228,742.80 : x
  2. Step 2: Convert to fraction form
    362,295.60/543,443.40 = 228,742.80/x
  3. Step 3: Cross multiply
    362,295.60x = 543,443.40 × 228,742.80
  4. Step 4: Simplify right side
    362,295.60x = 124,308,764,957.52
  5. Step 5: Solve for x
    x = 124,308,764,957.52/362,295.60
  6. Step 6: Final answer
    x = 343,114.20

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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.