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Finding the Fourth Proportional to 470,898.20, 706,331.51 and 204,658.70

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Solution

The fourth proportional to 470,898.20, 706,331.51 and 204,658.70 is: 306,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,898.20 : 706,331.51 = 204,658.70 : x
  2. Step 2: Convert to fraction form
    470,898.20/706,331.51 = 204,658.70/x
  3. Step 3: Cross multiply
    470,898.20x = 706,331.51 × 204,658.70
  4. Step 4: Simplify right side
    470,898.20x = 144,556,884,818.16
  5. Step 5: Solve for x
    x = 144,556,884,818.16/470,898.20
  6. Step 6: Final answer
    x = 306,981.18

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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.