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Finding the Fourth Proportional to 305,328.80, 457,863.60 and 147,605.60

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Solution

The fourth proportional to 305,328.80, 457,863.60 and 147,605.60 is: 221,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,328.80 : 457,863.60 = 147,605.60 : x
  2. Step 2: Convert to fraction form
    305,328.80/457,863.60 = 147,605.60/x
  3. Step 3: Cross multiply
    305,328.80x = 457,863.60 × 147,605.60
  4. Step 4: Simplify right side
    305,328.80x = 67,583,231,396.16
  5. Step 5: Solve for x
    x = 67,583,231,396.16/305,328.80
  6. Step 6: Final answer
    x = 221,345.75

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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.