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Finding the Fourth Proportional to 289,740.40, 434,092.20 and 178,802.80

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Solution

The fourth proportional to 289,740.40, 434,092.20 and 178,802.80 is: 267,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,740.40 : 434,092.20 = 178,802.80 : x
  2. Step 2: Convert to fraction form
    289,740.40/434,092.20 = 178,802.80/x
  3. Step 3: Cross multiply
    289,740.40x = 434,092.20 × 178,802.80
  4. Step 4: Simplify right side
    289,740.40x = 77,616,900,818.16
  5. Step 5: Solve for x
    x = 77,616,900,818.16/289,740.40
  6. Step 6: Final answer
    x = 267,884.29

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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.