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Finding the Fourth Proportional to 289,486.20, 434,229.30 and 178,894.20

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Solution

The fourth proportional to 289,486.20, 434,229.30 and 178,894.20 is: 268,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,486.20 : 434,229.30 = 178,894.20 : x
  2. Step 2: Convert to fraction form
    289,486.20/434,229.30 = 178,894.20/x
  3. Step 3: Cross multiply
    289,486.20x = 434,229.30 × 178,894.20
  4. Step 4: Simplify right side
    289,486.20x = 77,681,103,240.06
  5. Step 5: Solve for x
    x = 77,681,103,240.06/289,486.20
  6. Step 6: Final answer
    x = 268,341.30

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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.