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Finding the Fourth Proportional to 305,296.80, 457,815.60 and 147,573.60

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Solution

The fourth proportional to 305,296.80, 457,815.60 and 147,573.60 is: 221,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,296.80 : 457,815.60 = 147,573.60 : x
  2. Step 2: Convert to fraction form
    305,296.80/457,815.60 = 147,573.60/x
  3. Step 3: Cross multiply
    305,296.80x = 457,815.60 × 147,573.60
  4. Step 4: Simplify right side
    305,296.80x = 67,561,496,228.16
  5. Step 5: Solve for x
    x = 67,561,496,228.16/305,296.80
  6. Step 6: Final answer
    x = 221,297.75

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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.