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Finding the Fourth Proportional to 470,897.20, 706,330.20 and 204,658.04

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Solution

The fourth proportional to 470,897.20, 706,330.20 and 204,658.04 is: 306,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,897.20 : 706,330.20 = 204,658.04 : x
  2. Step 2: Convert to fraction form
    470,897.20/706,330.20 = 204,658.04/x
  3. Step 3: Cross multiply
    470,897.20x = 706,330.20 × 204,658.04
  4. Step 4: Simplify right side
    470,897.20x = 144,556,154,324.81
  5. Step 5: Solve for x
    x = 144,556,154,324.81/470,897.20
  6. Step 6: Final answer
    x = 306,980.28

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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.