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Finding the Fourth Proportional to 289,783.20, 434,869.20 and 171,328.80

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Solution

The fourth proportional to 289,783.20, 434,869.20 and 171,328.80 is: 257,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,783.20 : 434,869.20 = 171,328.80 : x
  2. Step 2: Convert to fraction form
    289,783.20/434,869.20 = 171,328.80/x
  3. Step 3: Cross multiply
    289,783.20x = 434,869.20 × 171,328.80
  4. Step 4: Simplify right side
    289,783.20x = 74,505,618,192.96
  5. Step 5: Solve for x
    x = 74,505,618,192.96/289,783.20
  6. Step 6: Final answer
    x = 257,108.14

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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.