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Finding the Fourth Proportional to 289,761,144.80, 434,662,712.40 and 174,497,496.80

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Solution

The fourth proportional to 289,761,144.80, 434,662,712.40 and 174,497,496.80 is: 261,758,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,761,144.80 : 434,662,712.40 = 174,497,496.80 : x
  2. Step 2: Convert to fraction form
    289,761,144.80/434,662,712.40 = 174,497,496.80/x
  3. Step 3: Cross multiply
    289,761,144.80x = 434,662,712.40 × 174,497,496.80
  4. Step 4: Simplify right side
    289,761,144.80x = 75,847,555,266,098,320
  5. Step 5: Solve for x
    x = 75,847,555,266,098,320/289,761,144.80
  6. Step 6: Final answer
    x = 261,758,888.75

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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.