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Finding the Fourth Proportional to 470,520.70, 705,384.24 and 204,080.50

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Solution

The fourth proportional to 470,520.70, 705,384.24 and 204,080.50 is: 305,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,520.70 : 705,384.24 = 204,080.50 : x
  2. Step 2: Convert to fraction form
    470,520.70/705,384.24 = 204,080.50/x
  3. Step 3: Cross multiply
    470,520.70x = 705,384.24 × 204,080.50
  4. Step 4: Simplify right side
    470,520.70x = 143,955,168,391.32
  5. Step 5: Solve for x
    x = 143,955,168,391.32/470,520.70
  6. Step 6: Final answer
    x = 305,948.64

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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.