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Finding the Fourth Proportional to 470,448.70, 705,566.64 and 217,590.44

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Solution

The fourth proportional to 470,448.70, 705,566.64 and 217,590.44 is: 326,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,448.70 : 705,566.64 = 217,590.44 : x
  2. Step 2: Convert to fraction form
    470,448.70/705,566.64 = 217,590.44/x
  3. Step 3: Cross multiply
    470,448.70x = 705,566.64 × 217,590.44
  4. Step 4: Simplify right side
    470,448.70x = 153,524,552,935.05
  5. Step 5: Solve for x
    x = 153,524,552,935.05/470,448.70
  6. Step 6: Final answer
    x = 326,336.44

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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.