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Finding the Fourth Proportional to 289,761,142.80, 434,662,709.40 and 174,497,494.80

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Solution

The fourth proportional to 289,761,142.80, 434,662,709.40 and 174,497,494.80 is: 261,758,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,761,142.80 : 434,662,709.40 = 174,497,494.80 : x
  2. Step 2: Convert to fraction form
    289,761,142.80/434,662,709.40 = 174,497,494.80/x
  3. Step 3: Cross multiply
    289,761,142.80x = 434,662,709.40 × 174,497,494.80
  4. Step 4: Simplify right side
    289,761,142.80x = 75,847,553,873,280,416
  5. Step 5: Solve for x
    x = 75,847,553,873,280,416/289,761,142.80
  6. Step 6: Final answer
    x = 261,758,885.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.