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Finding the Fourth Proportional to 430,469.20, 645,473.40 and 180,869.20

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Solution

The fourth proportional to 430,469.20, 645,473.40 and 180,869.20 is: 271,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,469.20 : 645,473.40 = 180,869.20 : x
  2. Step 2: Convert to fraction form
    430,469.20/645,473.40 = 180,869.20/x
  3. Step 3: Cross multiply
    430,469.20x = 645,473.40 × 180,869.20
  4. Step 4: Simplify right side
    430,469.20x = 116,746,257,479.28
  5. Step 5: Solve for x
    x = 116,746,257,479.28/430,469.20
  6. Step 6: Final answer
    x = 271,206.99

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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.