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Finding the Fourth Proportional to 289,669.20, 434,698.20 and 171,214.80

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Solution

The fourth proportional to 289,669.20, 434,698.20 and 171,214.80 is: 256,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,669.20 : 434,698.20 = 171,214.80 : x
  2. Step 2: Convert to fraction form
    289,669.20/434,698.20 = 171,214.80/x
  3. Step 3: Cross multiply
    289,669.20x = 434,698.20 × 171,214.80
  4. Step 4: Simplify right side
    289,669.20x = 74,426,765,373.36
  5. Step 5: Solve for x
    x = 74,426,765,373.36/289,669.20
  6. Step 6: Final answer
    x = 256,937.10

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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.