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Finding the Fourth Proportional to 289,489.20, 434,233.80 and 178,897.20

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Solution

The fourth proportional to 289,489.20, 434,233.80 and 178,897.20 is: 268,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,489.20 : 434,233.80 = 178,897.20 : x
  2. Step 2: Convert to fraction form
    289,489.20/434,233.80 = 178,897.20/x
  3. Step 3: Cross multiply
    289,489.20x = 434,233.80 × 178,897.20
  4. Step 4: Simplify right side
    289,489.20x = 77,683,210,965.36
  5. Step 5: Solve for x
    x = 77,683,210,965.36/289,489.20
  6. Step 6: Final answer
    x = 268,345.80

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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.