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Finding the Fourth Proportional to 289,943.60, 434,915.40 and 195,465.20

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Solution

The fourth proportional to 289,943.60, 434,915.40 and 195,465.20 is: 293,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,943.60 : 434,915.40 = 195,465.20 : x
  2. Step 2: Convert to fraction form
    289,943.60/434,915.40 = 195,465.20/x
  3. Step 3: Cross multiply
    289,943.60x = 434,915.40 × 195,465.20
  4. Step 4: Simplify right side
    289,943.60x = 85,010,825,644.08
  5. Step 5: Solve for x
    x = 85,010,825,644.08/289,943.60
  6. Step 6: Final answer
    x = 293,197.80

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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.