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Finding the Fourth Proportional to 288,609.80, 432,914.70 and 164,193.80

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Solution

The fourth proportional to 288,609.80, 432,914.70 and 164,193.80 is: 246,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,609.80 : 432,914.70 = 164,193.80 : x
  2. Step 2: Convert to fraction form
    288,609.80/432,914.70 = 164,193.80/x
  3. Step 3: Cross multiply
    288,609.80x = 432,914.70 × 164,193.80
  4. Step 4: Simplify right side
    288,609.80x = 71,081,909,668.86
  5. Step 5: Solve for x
    x = 71,081,909,668.86/288,609.80
  6. Step 6: Final answer
    x = 246,290.70

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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.