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Finding the Fourth Proportional to 286,880.80, 430,321.20 and 146,912.80

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Solution

The fourth proportional to 286,880.80, 430,321.20 and 146,912.80 is: 220,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,880.80 : 430,321.20 = 146,912.80 : x
  2. Step 2: Convert to fraction form
    286,880.80/430,321.20 = 146,912.80/x
  3. Step 3: Cross multiply
    286,880.80x = 430,321.20 × 146,912.80
  4. Step 4: Simplify right side
    286,880.80x = 63,219,692,391.36
  5. Step 5: Solve for x
    x = 63,219,692,391.36/286,880.80
  6. Step 6: Final answer
    x = 220,369.20

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1.5x scale

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.