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Finding the Fourth Proportional to 289,360.80, 434,522.88 and 195,197.04

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Solution

The fourth proportional to 289,360.80, 434,522.88 and 195,197.04 is: 293,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,360.80 : 434,522.88 = 195,197.04 : x
  2. Step 2: Convert to fraction form
    289,360.80/434,522.88 = 195,197.04/x
  3. Step 3: Cross multiply
    289,360.80x = 434,522.88 × 195,197.04
  4. Step 4: Simplify right side
    289,360.80x = 84,817,579,988.28
  5. Step 5: Solve for x
    x = 84,817,579,988.28/289,360.80
  6. Step 6: Final answer
    x = 293,120.49

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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.