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Finding the Fourth Proportional to 434,878.20, 652,287.96 and 119,308.68

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Solution

The fourth proportional to 434,878.20, 652,287.96 and 119,308.68 is: 178,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,878.20 : 652,287.96 = 119,308.68 : x
  2. Step 2: Convert to fraction form
    434,878.20/652,287.96 = 119,308.68/x
  3. Step 3: Cross multiply
    434,878.20x = 652,287.96 × 119,308.68
  4. Step 4: Simplify right side
    434,878.20x = 77,823,615,487.49
  5. Step 5: Solve for x
    x = 77,823,615,487.49/434,878.20
  6. Step 6: Final answer
    x = 178,954.97

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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.