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Finding the Fourth Proportional to 305,200.80, 457,671.60 and 147,477.60

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Solution

The fourth proportional to 305,200.80, 457,671.60 and 147,477.60 is: 221,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,200.80 : 457,671.60 = 147,477.60 : x
  2. Step 2: Convert to fraction form
    305,200.80/457,671.60 = 147,477.60/x
  3. Step 3: Cross multiply
    305,200.80x = 457,671.60 × 147,477.60
  4. Step 4: Simplify right side
    305,200.80x = 67,496,309,156.16
  5. Step 5: Solve for x
    x = 67,496,309,156.16/305,200.80
  6. Step 6: Final answer
    x = 221,153.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.