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Finding the Fourth Proportional to 470,525.90, 705,392.01 and 204,085.71

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Solution

The fourth proportional to 470,525.90, 705,392.01 and 204,085.71 is: 305,956.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,525.90 : 705,392.01 = 204,085.71 : x
  2. Step 2: Convert to fraction form
    470,525.90/705,392.01 = 204,085.71/x
  3. Step 3: Cross multiply
    470,525.90x = 705,392.01 × 204,085.71
  4. Step 4: Simplify right side
    470,525.90x = 143,960,429,189.18
  5. Step 5: Solve for x
    x = 143,960,429,189.18/470,525.90
  6. Step 6: Final answer
    x = 305,956.44

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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.