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Finding the Fourth Proportional to 362,851.60, 543,823.80 and 185,429.20

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Solution

The fourth proportional to 362,851.60, 543,823.80 and 185,429.20 is: 277,912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,851.60 : 543,823.80 = 185,429.20 : x
  2. Step 2: Convert to fraction form
    362,851.60/543,823.80 = 185,429.20/x
  3. Step 3: Cross multiply
    362,851.60x = 543,823.80 × 185,429.20
  4. Step 4: Simplify right side
    362,851.60x = 100,840,812,174.96
  5. Step 5: Solve for x
    x = 100,840,812,174.96/362,851.60
  6. Step 6: Final answer
    x = 277,912.00

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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.